SOLUTION: A die is rolled twice. What is the probability of showing a 3 on the first roll and an even number on the second roll?

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Question 1183500: A die is rolled twice. What is the probability of showing a 3 on the first roll and an even number on the second roll?
Answer by ikleyn(52780) About Me  (Show Source):
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A die is rolled twice. What is the probability of showing a 3 on the first roll
and an even number on the second roll?
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First event, showing a 3 on the first roll, has the probability of 1%2F6.


Second event, showing an even number on the second roll, has the probability  3%2F6 = 1%2F2.


These events are independent, so the answer to the problem question is the product

of individual probabilities  P = %281%2F6%29%2A%281%2F2%29 = 1%2F12.

Solved and explained.