Player A successfully made 80 free throws out of 300. If Player A were to attempt another free throw, what is the probability of a successful throw? Express your answer in the simplest form of the fraction. (1 point) 4/15 80/300 15/2 2/15

Answer 1

To find the probability of Player A making a successful free throw based on their previous performance, we can use the formula for probability:

\[ P(\text{success}) = \frac{\text{number of successful throws}}{\text{total attempts}} \]

In this case, Player A has made 80 successful free throws out of 300 attempts. Therefore, the probability of a successful throw is:

\[ P(\text{success}) = \frac{80}{300} \]

Next, we simplify the fraction \(\frac{80}{300}\):

1. Find the greatest common divisor (GCD) of 80 and 300, which is 20.
2. Divide both the numerator and the denominator by their GCD:

\[ \frac{80 \div 20}{300 \div 20} = \frac{4}{15} \]

So, the probability of Player A successfully making another free throw is:

\[ \frac{4}{15} \]

Thus, the answer is:

\(\frac{4}{15}\)