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24 September, 01:16

A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the probability of the given event. (Enter your answer as a fraction.) The sum of the numbers is either 7 or 11.

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  1. 24 September, 04:19
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    The probability that the sum of the numbers is either 7 or 11 is 0.22.

    Step-by-step explanation:

    To have this kind of event you can have the following events, where (d1, d2) d1 is the number that appears uppermost on die 1 and d2 is the number that appears uppermost on dice 2: (1,6); (6,1); (2,5); (5,2); (3,4); (4,3); (5,6); (6,5), the total number of events is 36 since every dice have 6 numbers.

    The probability is:

    P (Event) = P (sum is 7 or 11) / Total number of events

    P=8/36=0.22
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