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A fair coin is tossed and a fair die is rolled.What is the probability of rolling an even number on the die roll given that the coin toss was a heads?Group of answer choices1/41/211/3

Question

A fair coin is tossed and a fair die is rolled.What is the probability of rolling an even number on the die roll given that the coin toss was a heads?Group of answer choices1/41/211/3

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Solution

The probability of rolling an even number on a die is 1/2, because there are 3 even numbers (2, 4, 6) out of a total of 6 possible outcomes.

The outcome of the coin toss does not affect the outcome of the die roll, because these are independent events.

Therefore, the probability of rolling an even number on the die given that the coin toss was a heads is still 1/2.

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