Question

You roll two dice. Let event A be "The first die shows a 1, a 2, a 3, or a 6" and event B be "The second die shows an even number." What is P(A|B)?

Answer 1

 The two dice rolls are independent, so the fact that you roll an even number on the 2nd dice has no bearing on the probability that the first die shows a 1, 2, 3, or 6. Answer: 4/6 = 2/3.

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