What is the probability that the sum of two dice will yield a 5, and then when both are thrown again, their sum will again yield a 5? assume that each die has 4 sides with faces numbered 1 to 4.  Choose one.
A) 1/144 B) 1/36 C) 1/12 D) 1/16 E) 1/3
Solution -   Rolling dices is an independent event.   The combinations to get 5 are (1,4), (4,1), (2,3), (3,2), and total combinations of both dices is 16.   The probability of getting 5 in first attempt is 4/16=1/4.   Probability of getting 5 again in second attempt = (1/4)*(1/4) = 1/16. ANS 1/16
<result>D</result>
What is the probability that the sum of two dice will yield a 5, and then when both are thrown again, their sum will again yield a 5? assume that each die has 4 sides with faces numbered 1 to 4.