When rolling two dice simultaneously, what is the probability that one die shows an even number while the other shows an odd number?

Explanation

There are a total of 36 possible outcomes when two dice are rolled. Consider the event where both dice show numbers of the same parity (both even or both odd), which occurs in 18 out of 36 cases, giving a probability of 1/2. Therefore, the probability that one die is even and the other is odd is the complement: 1 - 1/2 = 1/2.