A and B play a game where each is asked to select a number from 1 to 16. If the two numbers match , both of them win a prize. Find the probability that they will not win a prize in a single trial. Choose the most appropriate option: A) 15/16 B) 1/16 C) 7/8 D) 9/8 E) None of these
Explanation :   A and B win a prize, only if both A and B select the number. So, if A chooses a number, B has to select the same number. Hence, it is problem on dependent event.   Let A select a number., then P(A) = 1/16 = probability of A.   Now, B selects the same number after A has already selected that number.   Then, P(B/A) = 1/1 = dependent probability of B given A has occurred.   P(AB) = Probability of winning a prize by both A and B is :-   =&gt; P(A) x P(AB).   =&gt; (1/16) x 1 = 1/16.   Hence, the probability of not winning a prize is :-   = 1 - (1/16).   = 15/16.   15/16nswer : 15/16
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A and B play a game where each is asked to select a number from 1 to 16. If the two numbers match , both of them win a prize. Find the probability that they will not win a prize in a single trial.