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A and B throw a pair of dice. if A throws 9, find B's chance of throwing a higher number. |
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Answer» Answer: Step-by-step explanation: GIVEN: A pair of dice is thrown i.E 2 dice Here, two dice are thrown, so possible outcomes are : (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6), Hence, total number of outcomes = 36 Let E = Event of getting the total of NUMBERS on the dice greater than 9 Here,the total of numbers on the dice greater than 9 are (5,5), (5,6), (6,4), (4,6), (6,5) and (6,6), Number of outcomes favourable to E = 6 PROBABILITY (E) = Number of favourable outcomes / Total number of outcomes P(E4) = 6/36 = 1/6 Hence, probability of getting the total of numbers on the dice greater than 9 = ⅙ . HOPE THIS ANSWER WILL HELP YOU… |
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