The bag contains 10 cards with the numbers 0 through 9. Among these numbers, the even numbers are 0, 2, 4, 6, and 8.
Let's list the even numbers:
- 0
- 2
- 4
- 6
- 8
There are a total of 5 even numbers.
The total number of cards is 10.
To find the probability of choosing an even number, we can use the formula for probability:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
In this case, the number of favorable outcomes (even numbers) is 5, and the total number of outcomes (total cards) is 10.
Thus, the probability \( P \) of choosing an even number is:
\[ P = \frac{5}{10} = \frac{1}{2} \]
Therefore, the probability that an even number will be chosen is \( \frac{1}{2} \) or 50%.