Question

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?

One-sixth
One-third
Two-thirds
Five-sixths

Answer 1

First roll even: 3/6 = 1/2. Second roll > 4: {5,6} = 2/6 = 1/3. Independent, so probability = (1/2)*(1/3) = 1/6.

Answer: One-sixth.