To determine the probability that the next card Ben plays will be an odd number, we first need to identify the total number of cards and the number of odd-numbered cards in his hand.
Ben's cards are: 2, 3, 4, 4, 5, 7, 9, and 10.
Step 1: Count the total number of cards. The total number of cards is 8.
Step 2: Identify the odd-numbered cards. The odd-numbered cards in Ben's hand are: 3, 5, 7, and 9.
Step 3: Count the odd-numbered cards. There are 4 odd-numbered cards.
Step 4: Calculate the probability. The probability \( P \) that the next card Ben plays will be an odd number is calculated as follows:
\[ P(\text{odd}) = \frac{\text{Number of odd cards}}{\text{Total number of cards}} = \frac{4}{8} = \frac{1}{2} \]
Therefore, the probability that the next card Ben plays will be an odd number is \(\frac{1}{2}\) or 50%.