A die is rolled twice. What is the probability of showing a 1 on the first roll and an odd number on the second roll?Write your answer as a simplified fraction.
Question
A die is rolled twice. What is the probability of showing a 1 on the first roll and an odd number on the second roll?Write your answer as a simplified fraction.
Solution
The probability of rolling a 1 on a six-sided die is 1/6 because there is only one face with a 1 and there are six faces in total.
The probability of rolling an odd number on a six-sided die is 1/2 because there are three odd numbers (1, 3, 5) and six faces in total.
Since these are independent events, we multiply the probabilities together to get the overall probability.
So, the probability of rolling a 1 on the first roll and an odd number on the second roll is (1/6) * (1/2) = 1/12.
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