Ten cards numbered 1 through 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is an even number?

Explanation

To solve the problem, we need to find the probability that the drawn card is an even number given that it is known to be more than 3. We will use the concept of conditional probability.

### Step-by-Step Solution:

1. **Identify the Sample Space**:
The cards are numbered from 1 to 10. Thus, the sample space \( S \) is:
\[
S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}
...