A die is rolled until a 3 occurs. By conditioning on the outcome of the irst roll,ind the probability that an even number of rolls is needed.
Question
Solution 1
To solve this problem, we need to consider two scenarios: one where the first roll is a 3, and one where it is not.
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If the first roll is a 3, then an odd number of rolls is needed (just 1 roll), so this does not contribute to the probability we are trying to find.
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