A six-sided number cube is rolled twice. What is the probability that the first roll is an even number and the second roll is a number greater than 4 ?

The first roll must be even: 2, 4, or 6, so its probability is 3/6 = 1/2. The second roll must be greater than 4: 5 or 6, so its probability is 2/6 = 1/3. The rolls are independent, so multiply: 1/2 × 1/3 = 1/6. The correct choice is C, 1 sixth.

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