QCM corrigé dénombrement et probabilité 1 mathématique, QCM arrangement, QCM dénombrement, QCM permutation, QCM probabilité 18 h 27 <html xml:lang="en" xmlns="http://www.w3.org/1998/Math/MathML"> <head> <title>QCM dénombrement et probabilité corrigé </title> <script src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_SVG" type="text/javascript"></script> </head> <body> <!-- MathMagic Pro Win v8.0, MathML 2.0 converter, 2015.6.14 21:59 --> <math xmlns="http://www.w3.org/1998/Math/MathML"> <semantics> <mstyle> <mtable> <mtr> <mtd columnalign="left"> <mi mathcolor="#0000ff" mathsize="14.2pt">QCM</mi> <mspace width="0.33em"> <mi mathcolor="#0000ff" mathsize="14.2pt">d</mi> <mo mathcolor="#0000ff" mathsize="14.2pt">é</mo> <mi mathcolor="#0000ff" mathsize="14.2pt">n</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">o</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">m</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">b</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">r</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">e</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">m</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">e</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">n</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">t</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">,</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">p</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">r</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">o</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">b</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">a</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">b</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">i</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">l</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">i</mi> <mi mathcolor="#0000ff" mathsize="14.2pt">t</mi> <mo mathcolor="#0000ff" mathsize="14.2pt">é</mo> <mspace width="0.33em"> </mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi mathcolor="#0000ff">Q</mi> <mi mathcolor="#0000ff">u</mi> <mi mathcolor="#0000ff">e</mi> <mi mathcolor="#0000ff">s</mi> <mi mathcolor="#0000ff">t</mi> <mi mathcolor="#0000ff">i</mi> <mi mathcolor="#0000ff">o</mi> <mi mathcolor="#0000ff">n</mi> <mn mathcolor="#0000ff">1</mn> </mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>Soit</mi> <mspace width="0.33em"> <mi>S</mi> <mspace width="0.33em"> <mi>l</mi> <mi>'</mi> <mi>e</mi> <mi>n</mi> <mi>s</mi> <mi>e</mi> <mi>m</mi> <mi>b</mi> <mi>l</mi> <mi>e</mi> <mspace width="0.33em"> <mi>fini</mi> <mspace width="0.33em"> <mi>de</mi> <mspace width="0.33em"> <mi>cardinal</mi> <mspace width="0.33em"> <mi>n</mi> <mspace width="0.33em"> <mi>et</mi> <mspace width="0.33em"> <mo>P</mo> <mfenced close=")" open="("> <mi>S</mi> </mfenced> <mspace width="0.33em"> <mi>l</mi> <mi>'</mi> <mi>e</mi> <mi>n</mi> <mi>s</mi> <mi>e</mi> <mi>m</mi> <mi>b</mi> <mi>l</mi> <mi>e</mi> <mspace width="0.33em"> <mi>des</mi> <mspace width="0.33em"> <mi>parties</mi> <mspace width="0.33em"> <mi>A</mi> <mspace width="0.33em"> <mi>de</mi> <mspace width="0.33em"> <mi>S</mi> <mspace width="0.33em"> <mi>,</mi> <mi>a</mi> <mi>l</mi> <mi>o</mi> <mi>r</mi> <mi>s</mi> <mspace width="0.33em"> <mrow> <munder> <mo>∑</mo> <mrow> <mi>A</mi> <mo mathsize="14.2pt">∊</mo> <mo>P</mo> <mfenced close=")" open="("> <mi>S</mi> </mfenced> </mrow> </munder> <mi mathsize="8.5pt">CardA</mi> </mrow> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>est</mi> <mspace width="0.33em"> <mo>é</mo> <mi>gale</mi> <mi>:</mi> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <msup> <mn>2</mn> <mi mathsize="8.5pt">n</mi> </msup> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <msup> <mrow> <mi>n</mi> <mn>2</mn> </mrow> <mi mathsize="8.5pt">n</mi> </msup> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>☑</mo> <mspace width="0.33em"> <msup> <mrow> <mi>n</mi> <mn>2</mn> </mrow> <mrow> <mi mathsize="8.5pt">n</mi> <mo mathsize="8.5pt">−</mo> <mn mathsize="8.5pt">1</mn> </mrow> </msup> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <msup> <mi>n</mi> <mi mathsize="8.5pt">n</mi> </msup> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi mathcolor="#0000ff">Q</mi> <mi mathcolor="#0000ff">u</mi> <mi mathcolor="#0000ff">e</mi> <mi mathcolor="#0000ff">s</mi> <mi mathcolor="#0000ff">t</mi> <mi mathcolor="#0000ff">i</mi> <mi mathcolor="#0000ff">o</mi> <mi mathcolor="#0000ff">n</mi> <mn mathcolor="#0000ff">2</mn> </mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>On</mi> <mspace width="0.33em"> <mi>propose</mi> <mspace width="0.33em"> <mo>à</mo> <mspace width="0.33em"> <mi>un</mi> <mspace width="0.33em"> <mi>candidat</mi> <mspace width="0.33em"> <mi>un</mi> <mspace width="0.33em"> <mi>QCM</mi> <mspace width="0.33em"> <mi>de</mi> <mspace width="0.33em"> <mn>60</mn> <mspace width="0.33em"> <mi>q</mi> <mi>u</mi> <mi>e</mi> <mi>s</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mi>s</mi> <mi>.</mi> <mi>p</mi> <mi>o</mi> <mi>u</mi> <mi>r</mi> <mspace width="0.33em"> <mi>chaque</mi> <mspace width="0.33em"> <mi>question</mi> <mspace width="0.33em"> <mi>il</mi> <mspace width="0.33em"> <mi>y</mi> <mspace width="0.33em"> <mi>a</mi> <mspace width="0.33em"> <mn>4</mn> <mspace width="0.33em"> <mi>réponses</mi> <mspace width="0.33em"> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>possibles</mi> <mspace width="0.33em"> <mi>dont</mi> <mspace width="0.33em"> <mi>une</mi> <mspace width="0.33em"> <mi>seule</mi> <mspace width="0.33em"> <mi>est</mi> <mspace width="0.33em"> <mi>c</mi> <mi>o</mi> <mi>r</mi> <mi>r</mi> <mi>é</mi> <mi>c</mi> <mi>t</mi> <mi>e</mi> <mi>.</mi> </mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>Ce</mi> <mspace width="0.33em"> <mi>candidat</mi> <mspace width="0.33em"> <mi>doit</mi> <mspace width="0.33em"> <mi>répondre</mi> <mspace width="0.33em"> <mi>au</mi> <mspace width="0.33em"> <mi>hasard</mi> <mspace width="0.33em"> <mo>à</mo> <mspace width="0.33em"> <mi>ce</mi> <mspace width="0.33em"> <mi>questionnaire</mi> <mspace width="0.33em"> <mi>,</mi> <mi>la</mi> <mspace width="0.33em"> <mi>probabilité</mi> <mspace width="0.33em"> <mi>que</mi> <mspace width="0.33em"> <mi>toutes</mi> <mspace width="0.33em"> <mi>ces</mi> <mspace width="0.33em"> <mi>réponses</mi> <mspace width="0.33em"> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>soient</mi> <mspace width="0.33em"> <mi>justes</mi> <mspace width="0.33em"> <mi>est</mi> <mspace width="0.33em"> <mi>:</mi> </mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <mstyle mathsize="15.6pt"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mstyle> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <mstyle mathsize="12.8pt"> <mfrac> <mrow> <mstyle mathsize="12.0pt"> <mfenced close=")" open="("> <mrow> <mn mathsize="12.8pt">60</mn> <mo mathsize="12.8pt">−</mo> <mn mathsize="12.8pt">4</mn> </mrow> </mfenced> </mstyle> <mi>!</mi> </mrow> <mrow> <mn>6</mn> <mn>0</mn> <mi>!</mi> </mrow> </mfrac> </mstyle> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <mstyle mathsize="14.2pt"> <mfrac> <mn>1</mn> <msup> <mn>60</mn> <mn>4</mn> </msup> </mfrac> </mstyle> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo mathsize="12.8pt">☑</mo> <mspace width="0.33em"> <mstyle mathsize="15.7pt"> <mfrac> <mn>1</mn> <msup> <mn>4</mn> <mn>60</mn> </msup> </mfrac> </mstyle> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi mathcolor="#0000ff">Q</mi> <mi mathcolor="#0000ff">u</mi> <mi mathcolor="#0000ff">e</mi> <mi mathcolor="#0000ff">s</mi> <mi mathcolor="#0000ff">t</mi> <mi mathcolor="#0000ff">i</mi> <mi mathcolor="#0000ff">o</mi> <mi mathcolor="#0000ff">n</mi> <mn mathcolor="#0000ff">3</mn> </mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>Une</mi> <mspace width="0.33em"> <mi>urne</mi> <mspace width="0.33em"> <mi>contient</mi> <mspace width="0.33em"> <mn>7</mn> <mspace width="0.33em"> <mi>boules</mi> <mspace width="0.33em"> <mi>rouges</mi> <mspace width="0.33em"> <mi>et</mi> <mspace width="0.33em"> <mn>3</mn> <mspace width="0.33em"> <mi>boule</mi> <mspace width="0.33em"> <mi>noires</mi> <mspace width="0.33em"> <mi>indiscernables</mi> <mspace width="0.33em"> <mi>au</mi> <mspace width="0.33em"> <mi>t</mi> <mi>o</mi> <mi>u</mi> <mi>c</mi> <mi>h</mi> <mi>e</mi> <mi>r</mi> <mi>.</mi> <mspace width="0.33em"> <mi>on</mi> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>tire</mi> <mspace width="0.33em"> <mi>succesivement</mi> <mspace width="0.33em"> <mi>et</mi> <mspace width="0.33em"> <mi>avec</mi> <mspace width="0.33em"> <mi>remise</mi> <mspace width="0.33em"> <mi>n</mi> <mspace width="0.33em"> <mi>boules</mi> <mspace width="0.33em"> <mi>n</mi> <mi>o</mi> <mi>i</mi> <mi>r</mi> <mi>e</mi> <mi>s</mi> <mi>,</mi> <mspace width="0.33em"> <mi>ou</mi> <mspace width="0.33em"> <mi>n</mi> <mo>∊</mo> <msup> <mi>N</mi> <mo>*</mo> </msup> <mspace width="0.33em"> <mi>.</mi> <mi>L</mi> <mi>a</mi> <mspace width="0.33em"> <mi>probabilité</mi> <mspace width="0.33em"> <mi>d</mi> <mi>'</mi> <mi>o</mi> <mi>b</mi> <mi>t</mi> <mi>e</mi> <mi>n</mi> <mi>i</mi> <mi>r</mi> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>au</mi> <mspace width="0.33em"> <mi>moins</mi> <mspace width="0.33em"> <mi>une</mi> <mspace width="0.33em"> <mi>boule</mi> <mspace width="0.33em"> <mi>noire</mi> <mspace width="0.33em"> <mi>est</mi> <mspace width="0.33em"> <mo>é</mo> <mi>g</mi> <mi>a</mi> <mi>l</mi> <mi>e</mi> <mi>:</mi> </mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <msup> <mstyle mathsize="12.0pt"> <mfenced close=")" open="("> <mstyle mathsize="14.2pt"> <mfrac> <mn>3</mn> <mn>10</mn> </mfrac> </mstyle> </mfenced> </mstyle> <mi mathsize="8.5pt">n</mi> </msup> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <msup> <mstyle mathsize="12.0pt"> <mfenced close=")" open="("> <mstyle mathsize="14.2pt"> <mfrac> <mn>7</mn> <mn>10</mn> </mfrac> </mstyle> </mfenced> </mstyle> <mi mathsize="8.5pt">n</mi> </msup> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <mn>1</mn> <mo>−</mo> <msup> <mstyle mathsize="12.0pt"> <mfenced close=")" open="("> <mstyle mathsize="14.2pt"> <mfrac> <mn>3</mn> <mn>10</mn> </mfrac> </mstyle> </mfenced> </mstyle> <mi mathsize="8.5pt">n</mi> </msup> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>☑</mo> <mspace width="0.33em"> <mn>1</mn> <mo>−</mo> <msup> <mstyle mathsize="12.0pt"> <mfenced close=")" open="("> <mstyle mathsize="14.2pt"> <mfrac> <mn>7</mn> <mn>10</mn> </mfrac> </mstyle> </mfenced> </mstyle> <mi mathsize="8.5pt">n</mi> </msup> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi mathcolor="#0000ff">Q</mi> <mi mathcolor="#0000ff">u</mi> <mi mathcolor="#0000ff">e</mi> <mi mathcolor="#0000ff">s</mi> <mi mathcolor="#0000ff">t</mi> <mi mathcolor="#0000ff">i</mi> <mi mathcolor="#0000ff">o</mi> <mi mathcolor="#0000ff">n</mi> <mn mathcolor="#0000ff">4</mn> </mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>Soit</mi> <mspace width="0.33em"> <mi>E</mi> <mspace width="0.33em"> <mi>l</mi> <mi>'</mi> <mi>e</mi> <mi>n</mi> <mi>s</mi> <mi>e</mi> <mi>m</mi> <mi>b</mi> <mi>l</mi> <mi>e</mi> <mspace width="0.33em"> <mi>de</mi> <mspace width="0.33em"> <mn>5</mn> <mspace width="0.33em"> <mi>chiffres</mi> <mspace width="0.33em"> <mi>qui</mi> <mspace width="0.33em"> <mi>contiennent</mi> <mspace width="0.33em"> <mn>0</mn> <mspace width="0.33em"> <mi>une</mi> <mspace width="0.33em"> <mi>seule</mi> <mspace width="0.33em"> <mi>f</mi> <mi>o</mi> <mi>i</mi> <mi>s</mi> <mi>.</mi> <mspace width="0.33em"> <mi>Card</mi> <mfenced close=")" open="("> <mi>E</mi> </mfenced> <mspace width="0.33em"> <mi>est</mi> <mspace width="0.33em"> <mo>é</mo> <mi>gal</mi> <mspace width="0.33em"> <mi>:</mi> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <mn>9</mn> <mi>!</mi> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <msup> <mn>9</mn> <mn>5</mn> </msup> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>☑</mo> <mspace width="0.33em"> <mn>4</mn> <mo>×</mo> <msup> <mn>9</mn> <mn>4</mn> </msup> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <msup> <mn>5</mn> <mn>9</mn> </msup> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi mathcolor="#0000ff">Q</mi> <mi mathcolor="#0000ff">u</mi> <mi mathcolor="#0000ff">e</mi> <mi mathcolor="#0000ff">s</mi> <mi mathcolor="#0000ff">t</mi> <mi mathcolor="#0000ff">i</mi> <mi mathcolor="#0000ff">o</mi> <mi mathcolor="#0000ff">n</mi> <mn mathcolor="#0000ff">5</mn> </mtd> </mtr> <mtr> <mtd columnalign="left"> <mn>360</mn> <mspace width="0.33em"> <mi>personnes</mi> <mspace width="0.33em"> <mi>ont</mi> <mspace width="0.33em"> <mi>leurs</mi> <mspace width="0.33em"> <mi>anniversaires</mi> <mspace width="0.33em"> <mo>à</mo> <mspace width="0.33em"> <mi>des</mi> <mspace width="0.33em"> <mi>dates</mi> <mspace width="0.33em"> <mi>toutes</mi> <mspace width="0.33em"> <mi>distinctes</mi> <mspace width="0.33em"> <mi>dans</mi> <mspace width="0.33em"> <mi>l</mi> <mi>'</mi> <mi>a</mi> <mi>n</mi> <mi>n</mi> <mi>é</mi> <mi>e</mi> <mspace width="0.33em"> <mi>de</mi> <mspace width="0.33em"> <mn>365</mn> <mspace width="0.33em"> <mi>j</mi> <mi>o</mi> <mi>u</mi> <mi>r</mi> <mi>s</mi> <mi>.</mi> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>Combien</mi> <mspace width="0.33em"> <mi>y</mi> <mo>−</mo> <mi>a</mi> <mo>−</mo> <mi>t</mi> <mo>−</mo> <mi>il</mi> <mspace width="0.33em"> <mi>de</mi> <mspace width="0.33em"> <mi>calendriers</mi> <mspace width="0.33em"> <mi>d</mi> <mi>'</mi> <mi>a</mi> <mi>n</mi> <mi>n</mi> <mi>i</mi> <mi>v</mi> <mi>e</mi> <mi>r</mi> <mi>s</mi> <mi>a</mi> <mi>i</mi> <mi>r</mi> <mi>e</mi> <mi>s</mi> <mspace width="0.33em"> <mi>possibles</mi> <mspace width="0.33em"> <mi>?</mi> </mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <mn>360</mn> <mi>!</mi> <msubsup> <mi>C</mi> <mn>365</mn> <mn>5</mn> </msubsup> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <mn>360</mn> <mi>!</mi> <msubsup> <mi>A</mi> <mn>365</mn> <mn>5</mn> </msubsup> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>☑</mo> <mspace width="0.33em"> <msubsup> <mi>C</mi> <mn>365</mn> <mn>360</mn> </msubsup> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <msubsup> <mi>A</mi> <mn>365</mn> <mn>360</mn> </msubsup> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi mathcolor="#0000ff">Question</mi> <mn mathcolor="#0000ff">6</mn> </mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>Une</mi> <mspace width="0.33em"> <mi>urne</mi> <mspace width="0.33em"> <mi>contient</mi> <mspace width="0.33em"> <mi>x</mi> <mspace width="0.33em"> <mi>boules</mi> <mspace width="0.33em"> <mi>dont</mi> <mspace width="0.33em"> <mn>3</mn> <mspace width="0.33em"> <mi>sont</mi> <mspace width="0.33em"> <mi>blanches</mi> <mi>,</mi> <mi>les</mi> <mspace width="0.33em"> <mi>autres</mi> <mspace width="0.33em"> <mo>é</mo> <mi>tan</mi> <mi>t</mi> <mspace width="0.33em"> <mi>rouges</mi> <mi>.</mi> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>A</mi> <mspace width="0.33em"> <mi>l</mi> <mo>’</mo> <mi>occasion</mi> <mspace width="0.33em"> <mi>du</mi> <mspace width="0.33em"> <mi>tirage</mi> <mi>,</mi> <mi>sans</mi> <mspace width="0.33em"> <mi>remise</mi> <mi>,</mi> <mi>de</mi> <mspace width="0.33em"> <mi>deux</mi> <mspace width="0.33em"> <mi>boules</mi> <mi>,</mi> <mspace width="0.33em"> <mi>la</mi> <mspace width="0.33em"> <mi>probabilit</mi> <mo>é</mo> <mspace width="0.33em"> <mi>d</mi> <mo>’</mo> <mi>obtenir</mi> <mspace width="0.33em"> <mi>une</mi> <mspace width="0.33em"> <mi>boule</mi> <mspace width="0.33em"> <mi>blanche</mi> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>puis</mi> <mspace width="0.33em"> <mi>une</mi> <mspace width="0.33em"> <mi>boule</mi> <mspace width="0.33em"> <mi>rouge</mi> <mspace width="0.33em"> <mi>est</mi> <mspace width="0.33em"> <mo>é</mo> <mi>gale</mi> <mspace width="0.33em"> <mo>à</mo> <mspace width="0.33em"> <mn>1/4</mn> <mi>.</mi> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>Que</mi> <mspace width="0.33em"> <mi>vaut</mi> <mspace width="0.33em"> <mi>x</mi> <mspace width="0.33em"> <mi>alors</mi> <mi>?</mi> </mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <mi>x</mi> <mo>=</mo> <mn>8</mn> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <mi>x</mi> <mo>=</mo> <mn>12</mn> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>☑</mo> <mspace width="0.33em"> <mi>x</mi> <mo>=</mo> <mn>4</mn> <mspace width="0.33em"> <mi>et</mi> <mspace width="0.33em"> <mi>x</mi> <mo>=</mo> <mn>9</mn> </mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <mi>x</mi> <mo>=</mo> <mn>12</mn> <mspace width="0.33em"> <mi>et</mi> <mspace width="0.33em"> <mi>x</mi> <mo>=</mo> <mn>8</mn> </mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi mathcolor="#0000ff">Question</mi> <mn mathcolor="#0000ff">7</mn> </mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>Soit</mi> <mspace width="0.33em"> <mi>b</mi> <mspace width="0.33em"> <mi>et</mi> <mspace width="0.33em"> <mi>n</mi> <mspace width="0.33em"> <mi>deux</mi> <mspace width="0.33em"> <mi>entiers</mi> <mspace width="0.33em"> <mi>naturels</mi> <mspace width="0.33em"> <mi>tels</mi> <mspace width="0.33em"> <mi>que</mi> <mspace width="0.33em"> <mspace width="0.33em"> <mi>b</mi> <mo>></mo> <mn>2</mn> <mspace width="0.33em"> <mi>et</mi> <mspace width="0.33em"> <mi>n</mi> <mo>≥</mo> <mn>2</mn> <mi>.</mi> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>Une</mi> <mspace width="0.33em"> <mi>urne</mi> <mspace width="0.33em"> <mi>contient</mi> <mspace width="0.33em"> <mn>2</mn> <mspace width="0.33em"> <mi>boules</mi> <mspace width="0.33em"> <mi>blanches</mi> <mspace width="0.33em"> <mi>e</mi> <mi>t</mi> <mi>(</mi> <mi>b</mi> <mo>−</mo> <mn>2</mn> <mi>)</mi> <mspace width="0.33em"> <mi>boules</mi> <mspace width="0.33em"> <mi>n</mi> <mi>o</mi> <mi>i</mi> <mi>r</mi> <mi>e</mi> <mi>s</mi> <mi>,</mi> <mspace width="0.33em"> <mi>indiscernables</mi> <mspace width="0.33em"> <mi>au</mi> <mspace width="0.33em"> <mi>t</mi> <mi>o</mi> <mi>u</mi> <mi>c</mi> <mi>h</mi> <mi>e</mi> <mi>r</mi> <mi>.</mi> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>On</mi> <mspace width="0.33em"> <mi>tire</mi> <mspace width="0.33em"> <mi>au</mi> <mspace width="0.33em"> <mi>hasar</mi> <mspace width="0.33em"> <mi>d</mi> <mi>'</mi> <mi>u</mi> <mi>n</mi> <mi>e</mi> <mspace width="0.33em"> <mi>boule</mi> <mspace width="0.33em"> <mi>de</mi> <mspace width="0.33em"> <mi>l</mi> <mi>’</mi> <mi>u</mi> <mi>r</mi> <mi>n</mi> <mi>e</mi> <mi>,</mi> <mspace width="0.33em"> <mi>on</mi> <mspace width="0.33em"> <mi>repère</mi> <mspace width="0.33em"> <mi>sa</mi> <mspace width="0.33em"> <mi>couleur</mi> <mspace width="0.33em"> <mi>et</mi> <mspace width="0.33em"> <mi>on</mi> <mspace width="0.33em"> <mi>la</mi> <mspace width="0.33em"> <mi>remet</mi> <mspace width="0.33em"> <mi>dans</mi> <mspace width="0.33em"> <mi>l</mi> <mi>’</mi> <mi>u</mi> <mi>r</mi> <mi>n</mi> <mi>e</mi> <mi>.</mi> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>On</mi> <mspace width="0.33em"> <mi>répète</mi> <mspace width="0.33em"> <mi>ainsi</mi> <mspace width="0.33em"> <mi>n</mi> <mspace width="0.33em"> <mi>fois</mi> <mspace width="0.33em"> <mi>cette</mi> <mspace width="0.33em"> <mi>e</mi> <mi>x</mi> <mi>p</mi> <mi>é</mi> <mi>r</mi> <mi>i</mi> <mi>e</mi> <mi>n</mi> <mi>c</mi> <mi>e</mi> <mi>.</mi> <mspace width="0.33em"> <mi>On</mi> <mspace width="0.33em"> <mi>désigne</mi> <mspace width="0.33em"> <mi>par</mi> <mspace width="0.33em"> <msub> <mi>p</mi> <mi>n</mi> </msub> <mspace width="0.33em"> <mi>la</mi> <mspace width="0.33em"> <mi>probabilité</mi> <mspace width="0.33em"> <mi>de</mi> <mspace width="0.33em"> <mi>tirer</mi> <mspace width="0.33em"> <mi>une</mi> <mspace width="0.33em"> <mi>boule</mi> <mspace width="0.33em"> <mi>blanche</mi> <mspace width="0.33em"> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>et</mi> <mspace width="0.33em"> <mi>une</mi> <mspace width="0.33em"> <mi>seule</mi> <mspace width="0.33em"> <mi>lors</mi> <mspace width="0.33em"> <mi>des</mi> <mspace width="0.33em"> <mi>(</mi> <mi>n</mi> <mo>−</mo> <mn>1</mn> <mi>)</mi> <mspace width="0.33em"> <mi>premiers</mi> <mspace width="0.33em"> <mi>tirages</mi> <mspace width="0.33em"> <mi>et</mi> <mspace width="0.33em"> <mi>une</mi> <mspace width="0.33em"> <mi>boule</mi> <mspace width="0.33em"> <mi>noire</mi> <mspace width="0.33em"> <mi>au</mi> <mspace width="0.33em"> <mi>n</mi> <mo>−</mo> <mi>ième</mi> <mspace width="0.33em"> <mi>t</mi> <mi>i</mi> <mi>r</mi> <mi>a</mi> <mi>g</mi> <mi>e</mi> <mi>.</mi> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <msub> <mi>p</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>1</mn> <mo>−</mo> <mstyle mathsize="14.2pt"> <mfrac> <mn>2</mn> <msup> <mi>b</mi> <mn mathsize="8.5pt">2</mn> </msup> </mfrac> </mstyle> <mspace width="0.33em"> </mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <munder> <mi>lim</mi> <mrow> <mi>n</mi> <mo mathsize="50.0%">→</mo> <mo mathsize="50.0%">+</mo> <mo mathsize="50.0%">∞</mo> </mrow> </munder> <mspace width="0.33em"> <msub> <mi>p</mi> <mi>n</mi> </msub> <mo>=</mo> <mo>+</mo> <mo>∞</mo> </mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <munder> <mi>lim</mi> <mrow> <mi>n</mi> <mo mathsize="50.0%">→</mo> <mo mathsize="50.0%">+</mo> <mo mathsize="50.0%">∞</mo> </mrow> </munder> <mspace width="0.33em"> <mstyle mathsize="14.2pt"> <mfrac> <msub> <mi>p</mi> <mi>n</mi> </msub> <mrow> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </mfrac> </mstyle> <mo>=</mo> <mn>1</mn> </mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>☑</mo> <mspace width="0.33em"> <msub> <mi>p</mi> <mi>n</mi> </msub> <mo>=</mo> <mstyle mathsize="14.2pt"> <mfrac> <mrow> <mn>2</mn> <mstyle mathsize="12.0pt"> <mfenced close=")" open="("> <mrow> <mi mathsize="14.2pt">n</mi> <mo mathsize="14.2pt">−</mo> <mn mathsize="14.2pt">1</mn> </mrow> </mfenced> </mstyle> </mrow> <mi>b</mi> </mfrac> </mstyle> <mo mathsize="14.2pt">×</mo> <msup> <mstyle mathsize="12.0pt"> <mfenced close=")" open="("> <mrow> <mn mathsize="11.3pt">1</mn> <mo mathsize="14.2pt">−</mo> <mstyle mathsize="14.2pt"> <mfrac> <mn>2</mn> <mi>b</mi> </mfrac> </mstyle> </mrow> </mfenced> </mstyle> <mrow> <mi mathsize="8.5pt">n</mi> <mo mathsize="8.5pt">−</mo> <mn mathsize="8.5pt">1</mn> </mrow> </msup> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi mathcolor="#0000ff">Q</mi> <mi mathcolor="#0000ff">u</mi> <mi mathcolor="#0000ff">e</mi> <mi mathcolor="#0000ff">s</mi> <mi mathcolor="#0000ff">t</mi> <mi mathcolor="#0000ff">i</mi> <mi mathcolor="#0000ff">o</mi> <mi mathcolor="#0000ff">n</mi> <mn mathcolor="#0000ff">8</mn> </mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>On</mi> <mspace width="0.33em"> <mi>tire</mi> <mspace width="0.33em"> <mi>au</mi> <mspace width="0.33em"> <mi>hasard</mi> <mspace width="0.33em"> <mi>une</mi> <mspace width="0.33em"> <mi>boule</mi> <mspace width="0.33em"> <mi>dans</mi> <mspace width="0.33em"> <mi>une</mi> <mspace width="0.33em"> <mi>urne</mi> <mspace width="0.33em"> <mi>contenant</mi> <mspace width="0.33em"> <mn>15</mn> <mspace width="0.33em"> <mi>boules</mi> <mspace width="0.33em"> <mi>numérotées</mi> <mspace width="0.33em"> <mi>d</mi> <mi>e</mi> <mn>1</mn> <mspace width="0.33em"> <mo>à</mo> <mspace width="0.33em"> <mn>1</mn> <mn>5</mn> <mi>.</mi> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>On</mi> <mspace width="0.33em"> <mi>note</mi> <mspace width="0.33em"> <mi>X</mi> <mspace width="0.33em"> <mi>la</mi> <mspace width="0.33em"> <mi>variable</mi> <mspace width="0.33em"> <mi>aléatoire</mi> <mspace width="0.33em"> <mi>prenant</mi> <mspace width="0.33em"> <mi>pour</mi> <mspace width="0.33em"> <mi>valeur</mi> <mspace width="0.33em"> <mi>le</mi> <mspace width="0.33em"> <mi>numéro</mi> <mspace width="0.33em"> <mi>de</mi> <mspace width="0.33em"> <mi>la</mi> <mspace width="0.33em"> <mi>boule</mi> <mspace width="0.33em"> <mi>t</mi> <mi>i</mi> <mi>r</mi> <mi>é</mi> <mi>e</mi> <mi>.</mi> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mi>l</mi> <mi>’</mi> <mi>e</mi> <mi>s</mi> <mi>p</mi> <mi>é</mi> <mi>r</mi> <mi>a</mi> <mi>n</mi> <mi>c</mi> <mi>e</mi> <mspace width="0.33em"> <mi>mathématique</mi> <mspace width="0.33em"> <mi>E</mi> <mi>(</mi> <mi>X</mi> <mi>)</mi> <mspace width="0.33em"> <mi>de</mi> <mspace width="0.33em"> <mi>la</mi> <mspace width="0.33em"> <mi>variable</mi> <mspace width="0.33em"> <mi>aléatoire</mi> <mspace width="0.33em"> <mi>X</mi> <mspace width="0.33em"> <mi>vaut</mi> <mspace width="0.33em"> <mi>:</mi> </mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>☑</mo> <mspace width="0.33em"> <mi>E</mi> <mi>(</mi> <mi>X</mi> <mi>)</mi> <mo>=</mo> <mn>8</mn> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <mi>E</mi> <mi>(</mi> <mi>X</mi> <mi>)</mi> <mo>=</mo> <mn>7</mn> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <mi>E</mi> <mi>(</mi> <mi>X</mi> <mi>)</mi> <mo>=</mo> <mstyle mathsize="14.2pt"> <mfrac> <mn>15</mn> <mn>2</mn> </mfrac> </mstyle> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mo>□</mo> <mspace width="0.33em"> <mi>E</mi> <mi>(</mi> <mi>X</mi> <mi>)</mi> <mo>=</mo> <mstyle mathsize="14.2pt"> <mfrac> <mn>15</mn> <mn>14</mn> </mfrac> </mstyle> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mspace> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mspace> </mspace></mtd> </mtr> <mtr> <mtd columnalign="left"> <mspace> </mspace></mtd> </mtr> </mtable> </mstyle> <annotation encoding="MathMagic">MMF.7h|Y*P00eEYML]|h4Sj1kn0lQMYRE0C0gcc|UZgAI5e[baUKbJAZ]0nda3RLTDP=BGVCCOTBLl[X5P^08=VTd9CTN:IZTmQQMn)Wnd)S6`ebMS7ilO[VjVajLCdinGXb6mf(cjKG=lIEF7bj2^oSnNWK;3gm)Di)7obQ=CRICBnVUf)Sb::84no7=kNlXn6HYjii:|*oW4g71WlV]WU:;L85U;afP]NfcHGS3fl_cbhVa^3TlFAf)ii);bI_a:Bg]i)cZk7a;Xnbdm^X:);TW[O)2l(b[jjVdNOR?4eo)blWh5c2^J(X:CKIUdWdWiY=mFcF|:nGRcMLlMmZVMdSLc[3TI;]jVOac6VlR_9CcS^mBEMQDT]lLiA^|YRK1]|7J7]RjFLPR=T4|I_d6Dkj;2MMdb|nHS_1SBMjj`U^?TG(YmRZ8nKC?_=YWoTD(IlRiU?LO:XgWn;V(lAlQYS?])KoUnlLJQ9J?Q)CV8kRLjk9W?:IlFOR:X7=2Elm)d90EB^G4iijm|18?^`MP=kLPHUImUhKh]TZ7hDJA3eCd4BXh*cmTQ1Z42E`jYWGDX^:kg7K[25CU2lYZ_X7H1:YR5(A16Q21C[ZFDa_(dF8jKfQ6YT81JYW5`h|L22|XP*BKTD4;NFX1Hd6:U21*50A35Q78*CD0EfP2]A[M:=nNdj80H(:(080HG8=:X;E2lP96jj)daZL^Lflc0)6(an)7*32QR[H*PEO3F1CH:[=H3(K4ZD:M]E*Z?2Z5RY_Z?c71hKH0C34|J1[*CDLXHKZkl2UL6cQ9iDk)79KE5Hi;_*1AfQ1eK(?WX?6de`;?0=GL6T3Z*]1L)Gd5N4dXkX^64T|0Z_dL7eYLDD5cB`Ng0`NM0*?c)n9nMEVl6b9[:LX1gHAaUMcN|0E?C6o[IjU7bZEOC4mDf?iL7Zom():HU047M4__J2Rg(HdGbS`ZXh7?Y04SFZ11Ih1o045(`J|*CJ`PG|73URH`8EM?)0aP*n90)``HUV]f6:A=TUKPH^1b6?IT72J1B9F:bQIGX_b8Ec40Xi8R=FB]D8STH6Y5S49KBd|]fE=)[2S2`W?]1]2P?:Z7[:5RPb*mNXC6B9YAE18b9eA4A0B6B=YCL6e8C9(nSD5G8=*|3T8PgU:Q|Tj`106mPOQPM9Z6T[o[3ADTM:YVkIFA`K;6TPI;A^ZQ^C=fE^N(ReCZVdboWm9UG(::I5DFl[o:ZWd8RV7oa(UIKbG[oRnn^g;b2NT=QnA:HVdD]9(BAg9fOV[Y:kD0]?:ZjFNU7X]ZMoK=nQ7H`mHA2c9cUn1algemMB`QW`oFD)Goa3a`9f(|fANF7ddfTNaTTLd?;YkV2`5C==HLo8|1N;DNIIUZFXW3Y_WLA9VGd[Jho*T^Pn;Z:AmC]m4bk28djCT19cc?|cRl6hIDJF](65Lc1DUU1mo;[9*dACd)5(l1WSWRVL3gTSa7(3k*O5L7F2NS^US:9101k25=IME0D1=EP(*=UT6*=cTdKl=77EfTI)7oAXij[FAXoh^LSCHADjNiS_8bI=l1kW):EhaMNk3D?mQSZjiRcKgf|Pa_h(L2c[8fMH)LSKIALjV43VK]I6ckEgTK6LG)M_MALkf)|R5Bki[a=6E)hP_oo4VR^3?UWbF51=Q;(aJcFg1;^(1UEC5]DG|nO5j`^)3nCk:5V4RU1mMgW1jTVJ[L7TZ;REDT5*QIER65M5:i9VK=nN_cYNKB(EQbg*MQcV`hOGUMGM07W_T7ld3TIL_IJOFn=ZV|(oi_jCVo)WfgIDQL;SPUPTEK_mioO?ifNeH21o5h9?YN38E5c9G8PT=_|k)_li6_iPV=h7of4?:Oo)iofgl=;XJc6iiDQSXiH_1K:?SDkh)nQi9^[[;XQGge9Vic]:kl2iNaTGO(7;jaeY5caAoU7ZK:1M)BWKTG7RKRW61lXe4cejnS98lFW6Odl|oaTV|Ubb*7_(`Fo2M]]A;4cdkJV_=0h4B_1g(Q:MB|5k0Y(OINkkXo9O=7imRgR;:mH9eV1Da9S`k3Q44nYTI;])|WV8ZXYCE|M(O)[;]R8=jYQILC_m;)D[Y);b1ji;_`)iaM|T3UMRkSfX)kV)EHQ_UfLIm:60L6Jm;AFii0FSYCJ=RI^8QaRAlUWdS90L?h*Kf4hNXDJaH=223gHKT47D?daKMc5BgVJnAcL93b3[=JfOK]:6W21`KI;AiV2cRAHR43JaG=dS^g**^P]c_2X5l^4hg6J;RYi0gjnn_UlI86?ZRIhMj=X9X]Uec_N|PXEU1_Taic8(?4TLFJH;2SYRKAa||UX4]fh4_cK;]_8R6)QE7J1S_Lh|5VVLT:8|(6CGLj?VO`Ya7^2(mN[k79I8`1W[`N;^C7I3eKW;d5Ye1;bSBCH6]mQ`Ck?NS?8dSc5EngNCXU:Q;j4;he70klH|h_7X|=l2SGR0)8Nn[G5*a:A]X0ZIVN3[dcC8f_2PWd:D[d0[T_H[I3]Tef`IjFJA(TB;IMERRfJSTFFEW8]P_X5GeC8MJEJMTBi|DJ[VmTaEZD*_FR]TXd5D=Y43]8WYZ?ZdjUIR[^j=?9N|||mOF1leZC)O;kk3*]|T`bIc7BG`3N7[fGKY10fnFK^kA?H=(`gZV**h5:Hlob2`aSjki?(ZB44l?F;3T*FKn:LZ6NRU?QA[DRaP;bOUVcR=Co23[Tn(P2AnR)*9`]8Yc39KSej]4DPA`[LD8CV8RL32^nA?]AY2R_`VGeXde_7aZ[URlC)n::8TcgK9PBka:h`C10SdJk??4_BVRTgK[L[IVR*90WcWZ|=dC3hWEcB:EQ)7Qk|0POWBelKdZNgnmb^fe8(:iIOKkOd4O;MBNciBoIUG*O=Lm9|U^n9G(n6UG(UR5iF35Doca8iZ7O]lPec|ZibIXDT3llRVEblLdcY5|=Y9U0GZ=(Mio1GATP3_l_=a^4KcHg`C?)lh1fdB`3M^eSaSF?R2*)7SgH:o7Jj|EQ]GjjbS;NEV6nB9J3BnSCHJMTI:47efb?8A7[*?[AoCbSiNmV:R_`)(W^R9)i[Pla7;jlRFgHg_TOVL^|^=oCCULnV8oGMgaCHgORGCZZA9RQ5lPO)c)1Kl`GTK9*Wa7Q^7fD[_:7MoZ_f[iamkM:KeF|VS5N[4CSNANLGAkAJb61W7WP1gHc4c*VLnnIfHdY1a_3f_:a1j;S]NFMLY?nJLMJ`Hk4[Nj4HLeIK^)g:dMSLo=HjOVJ5o8PH[?b5^2^fFHl0X|[fnES=HXhJJ0`JRj?Ro2A?kG=:c:d95AkEK`J|5HR[hniJ6I4nUl7^K`V]=H=:F3Z)k2njQA9hNAYRk6:RWHR?aiXl6SK5T[dY*nA^_e5GQG9HIZjJ]ZWVIEh::dBiD:c`Z3mBK)3n|X0Fa8o:E5c*Bi`21f2oZO`:FNlL0GDN|bjYg=B1mAI4^3n183Ofl;*PNJ;MYZ0]QAXFlB73;?gU7l`I6kcc_^]7]gg=d2TZAJo]XNB)ac;8DTHK79XRFFe549^)SEf_AgN[aE1PWl;YmZdoFcGiDQf_IM_CBaCVoWC2j|kQa0Ih?SYn^ojGVFFk(Sg[CQ]fJm;c:`HlaC[Vj`Dm?b3n44j9DHHU0F[KnQ5h783MML:8NmV|(L7E(0NnDR?Xo0gSGQafJ9`E4[VVgGg`Y|CN(TAjYQI3AA^2:PA*DfCOAi_NFWgF*N8CD_Y_]RVlOgV0^](KMKbk=Hmc;5[6hdSUZUoINMf7|a_Y4*oIjb:JX3*bWD;3oVBdniWH0OJAaH*(k:*:l9RP*;RV]aBT?cEgW0)o:=aC?O56(Q3c(eo[K2_H5K(maKT_Fh;YF^Zlh^KH*7cFdRNXEheo^m1|GOc57|QQ6hH^NRVFY_[YKaB^Nh4TcKTTH`ciNfD0oKYg_g]P38Q)?lfO[eH0hn^6V*JknnQNlo]F?X3*IC?3jRjj=gUWdUlT4*ko4ee9Od;kbO2=QQ=m`X?5f^_6WDjTN6[=iYF_fN1|JONWEok;MNH:GKMI3o5i`O5llGco734cYJOg4A9B5FGA2|B^XkkfmFfb`]]^RMJDCZj[fM0;1KGN8LMB1(D^bLm^6h4nb3nWHKFNoU=Rc`g(Zc?hh[oV7L*hROc=4(;a4o|]Q0K)ia?)kjFogAO?U7U?(C(3o18EeGHO5Ybgo5j6MFhiWa0C]87F_3MjdKhR)]fj)Fi?GNQ5?KY|]GfR^U`k_[3P2mgG|RNONCeBHG)OeO;cg7i6CWRkC3IZmo7TlNCoh7ddJAe*.mmf</annotation> </semantics> </math> <a href="https://docs.google.com/viewer?a=v&pid=sites&srcid=ZGVmYXVsdGRvbWFpbnxtYXRocWNtfGd4OjZiNGNkMTJlMjg5MjExYmM"><b>TELECHARGER LE QCM EN PDF</b></a> </body> </html> <div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjiMi1nVKaagYEBaG858_cBYvS84wGuxmshNH7c4Li50g9GJu4uv2uhYbegJCgCYFfl9-bt0LXizWaoYvWOdcEhEMm_p1one7gDobbun-NUB1oVyoKpeMF_0ZAFG2V01q925xpPakp7Uo8E/s1600/q2.PNG" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjiMi1nVKaagYEBaG858_cBYvS84wGuxmshNH7c4Li50g9GJu4uv2uhYbegJCgCYFfl9-bt0LXizWaoYvWOdcEhEMm_p1one7gDobbun-NUB1oVyoKpeMF_0ZAFG2V01q925xpPakp7Uo8E/s200/q2.PNG" /></a></div> QCM corrigé dénombrement et probabilité QCM dénombrement et probabilité corrigé QCM ... Lire la suite »
