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The probability of rolling a five on the first die is 1/6, as there is only one five out of the six possible outcomes.
The probability of rolling an even number on the second die is 3/6, as there are three even numbers (2, 4, 6) out of the six possible outcomes.
To find the probability of both events happening, we multiply the probabilities:
(1/6) x (3/6) = 3/36 = 1/12
Therefore, the probability of rolling a five on the first die and an even number on the second die is 1/12.