You're playing a game where you have to guess the correct number between 1 and 10. Your friend tells you that the number is either even or prime. What is the probability that the number is even?
Let's break down the possible numbers based on the given information:
1. Even numbers between 1 and 10 are: 2, 4, 6, 8, and 10.
2. Prime numbers between 1 and 10 are: 2, 3, 5, and 7.
3. The number can be either even or prime, so we need to consider the overlap (i.e., the number 2 is both even and prime).
4. So, the possible numbers based on the given conditions are: 2, 3, 4, 5, 6, 7, 8, and 10.
5. Out of these eight possibilities, five of them are even.

Thus, the probability that the number is even is 5/8 or 62.5%.