To find out how many players went out for frozen yogurt, we need to calculate \( \frac{2}{3} \) of the 15 players on Pat's soccer team.
We can do this by multiplying the total number of players by \( \frac{2}{3} \):
\[ \text{Number of players who went out for yogurt} = \frac{2}{3} \times 15 \]
Calculating this gives:
\[ \frac{2 \times 15}{3} = \frac{30}{3} = 10 \]
So, 10 players went out for frozen yogurt.