2006-06-18T00:29:40Z https://matematicasies.com/probabilidad,326#comment18 2006-06-18T00:29:40Z

<p>Al lanzar dos datos obtenemos 36 casos posibles. Si dividimos la puntuación mayor entre la menor podemos anotar las divisiones y resultados en la siguiente tabla:</p> <table class="table spip"> <thead><tr class="row_first"><th id="id5bd7_c0"> División </th><th id="id5bd7_c1"> </th><th id="id5bd7_c2"> Cociente </th><th id="id5bd7_c3"> </th><th id="id5bd7_c4"> Resto </th><th id="id5bd7_c5"> </th><th id="id5bd7_c6"> Casos </th><th id="id5bd7_c7"> </th><th id="id5bd7_c8"> Probabilidad </th></tr></thead> <tbody> <tr class="row_odd odd"> <td>6:1</td> <td class="numeric"></td> <td>6</td> <td class="numeric"></td> <td>0</td> <td class="numeric"></td> <td>(6-1), (1-6)</td> <td class="numeric"></td> <td>2/36</td></tr> <tr class="row_even even"> <td>6:2</td> <td class="numeric"></td> <td>3</td> <td class="numeric"></td> <td>0</td> <td class="numeric"></td> <td>(6-2), (2-6)</td> <td class="numeric"></td> <td>2/36</td></tr> <tr class="row_odd odd"> <td>6:3</td> <td class="numeric"></td> <td>2</td> <td class="numeric"></td> <td>0</td> <td class="numeric"></td> <td>(6-3), (3-6)</td> <td class="numeric"></td> <td>2/36</td></tr> <tr class="row_even even"> <td>6:4</td> <td class="numeric"></td> <td>1</td> <td class="numeric"></td> <td>2</td> <td class="numeric"></td> <td>(6-4), (4-6)</td> <td class="numeric"></td> <td>2/36</td></tr> <tr class="row_odd odd"> <td>6:5</td> <td class="numeric"></td> <td>1</td> <td class="numeric"></td> <td>1</td> <td class="numeric"></td> <td>(6-5), (5-6)</td> <td class="numeric"></td> <td>2/36</td></tr> <tr class="row_even even"> <td>6:6</td> <td class="numeric"></td> <td>1</td> <td class="numeric"></td> <td>0</td> <td class="numeric"></td> <td>(6-6)</td> <td class="numeric"></td> <td>1/36</td></tr> <tr class="row_odd odd"> <td>5:1</td> <td class="numeric"></td> <td>5</td> <td class="numeric"></td> <td>0</td> <td class="numeric"></td> <td>(5-1), (1-5)</td> <td class="numeric"></td> <td>2/36</td></tr> <tr class="row_even even"> <td>5:2</td> <td class="numeric"></td> <td>2</td> <td class="numeric"></td> <td>1</td> <td class="numeric"></td> <td>(5-2), (2-5)</td> <td class="numeric"></td> <td>2/36</td></tr> <tr class="row_odd odd"> <td>......</td> <td class="numeric"></td> <td>......</td> <td class="numeric"></td> <td>.....</td> <td class="numeric"></td> <td>.....</td> <td class="numeric"></td> <td>......</td></tr> <tr class="row_even even"> <td>2:1</td> <td class="numeric"></td> <td>2</td> <td class="numeric"></td> <td>0</td> <td class="numeric"></td> <td>(2-1), (1-2)</td> <td class="numeric"></td> <td>2/36</td></tr> <tr class="row_odd odd"> <td>2:2</td> <td class="numeric"></td> <td>1</td> <td class="numeric"></td> <td>0</td> <td class="numeric"></td> <td>(2-2)</td> <td class="numeric"></td> <td>1/36</td></tr> <tr class="row_even even"> <td>1:1</td> <td class="numeric"></td> <td>1</td> <td class="numeric"></td> <td>0</td> <td class="numeric"></td> <td>(1-1)</td> <td class="numeric"></td> <td>1/36</td></tr> </tbody> </table> <p>Para calcular las probabilidades que nos piden no tenemos más que contar los casos.</p> <p>Otra forma de hacerlo (sin tener que escribir la tabla anterior) nos puede valer para algunos apartados. Por ejemplo: probabilidad de que el cociente sea mayor que 3.</p> <p>Cocientes mayores que 3, tenemos: 4, 5 y 6 que podemos obtener:</p> <p><span class="spip-puce ltr"><b>–</b></span> cociente 6: (6-1) y (1-6) <br><span class="spip-puce ltr"><b>–</b></span> cociente 5: (5-1) y (1-5) <br><span class="spip-puce ltr"><b>–</b></span> cociente 4: (4-1) y (1-4)</p> <p>lo que hacen un total de 6 casos de 36 posibles; por tanto la probabilidad es <strong>6/36</strong></p>