SOLUTION: In a game, there are three rounds; the probabilities of winning first, second & third rounds are 3/4 , 1/2 and 1/4 respectively. A prize will be given, if any one wins all the ro

Question 366449: In a game, there are three rounds; the probabilities of winning first, second & third rounds are 3/4 , 1/2 and 1/4 respectively. A prize will be given, if any one wins all the rounds. What is the probability of winning the prize?
A. 29/32 B. 1/32 C. 9/32 D. 3/32 E. none
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Assuming the 3 events are mutually independent (i.e., performance in the next round is not affected by the previous round), the probability is . The answer is D.
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