SOLUTION: A fair die is rolled three times. What is the probability that it shows an even number in the first toss, an even number in the second toss, and a 2 on the third toss? (Assume that

Algebra ->  Probability-and-statistics -> SOLUTION: A fair die is rolled three times. What is the probability that it shows an even number in the first toss, an even number in the second toss, and a 2 on the third toss? (Assume that      Log On


   

Question 1118594: A fair die is rolled three times. What is the probability that it shows an even number in the first toss, an even number in the second toss, and a 2 on the third toss? (Assume that the outcomes of the tosses are independent. Round your answer to four decimal places.)
Answer by math_helper(2461) About Me  (Show Source):
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P(even on any toss) = 1/2
P(2 on any toss) = 1/6
P(even, even, 2) = (1/2)(1/2)(1/6) = +highlight%28matrix%281%2C3%2C+%22+%22%2C+1%2F24%2C+%22+%22%29%29+, or to 4 decimal places: 0.0417