Suppose a baseball team has $10$ players, $3$ of whom have a batting average under $300$. If one player is selected at random, what is the probability that the player has an average under $300$?

• A. $\frac{1}{3}$
• B. $\frac{3}{10}$
• C. $\frac{7}{10}$
• D. $\frac{1}{10}$

Answer: (B)

Verified step by step guidance

1. Identify the total number of players on the team, which is 10.
2. Determine the number of players who have a batting average under 300, which is given as 3.
3. Recall that the probability of an event is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.
4. Set up the probability expression as \(\frac{\text{number of players with average under 300}}{\text{total number of players}}\).
5. Substitute the values into the expression to get \(\frac{3}{10}\), which represents the probability that a randomly selected player has a batting average under 300.