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)

Question

Responses

80/300
80 over 300

4/15
4 over 15

15/2
15 halves

2/15

Answer 1

To find the probability of Player A making a successful throw after already making 80 successful free throws out of 300 attempts, we can express this as a fraction based on past performance.

The probability \( P \) of a successful throw is given by the formula:

\[ P(\text{success}) = \frac{\text{number of successful throws}}{\text{total attempts}} = \frac{80}{300} \]

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 denominator by their GCD:

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

Thus, the simplified fraction representing the probability of a successful free throw by Player A is:

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

So the correct answer is:

4/15