Consider two 6-sided dice. The numbers 1 through 6 appear on each die. a. What i

Question

Consider two 6-sided dice. The numbers 1 through 6 appear on each die. a. What is the probability of a positive number being rolled as the sum of both dice? b. What is the probability of the number 13 being rolled as the sum of both dice? c. hat is the probability of an even number being rolled as the sum of both dice? d. at is the probability of the number 11 being rolled as the sum of both dice three consecutive times? e. What is the probability of the number 6 being rolled as the sum of both dice first, then the number 7 being rolled as the sum of both dice, then the number 8 being rolled as the sum of both dice?

Explanation / Answer

a) P(positive number) = 1

b) P( sum = 13) = 0

c) P(even number) = P(both odd) + P(both even) = 0.5x0.5 + 0.5x0.5 = 0.5

d) P(sum =11) = 2/36 = 1/18 [(5.6) and (6,5)]

P(sum 11, three consecutive times) = (1/18)3 = 0.0002

e) P(sum 6) = 5/36

P(sum 7) = 6/36

P(sum 8) = 5/36

P(sum 6 first, then sum 7 and then sum 8) = (5/36)(6/36)(5/36) = 0.0032

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