Questions: Your favorite basketball player is a 81% free throw shooter. Find the probability (as a percent) that he does NOT make his next free throw shot. Write your answer as a percent.

Your favorite basketball player is a 81% free throw shooter. Find the probability (as a percent) that he does NOT make his next free throw shot.

Write your answer as a percent.

Transcript text: Your favorite basketball player is a $81 \%$ free throw shooter. Find the probability (as a percent) that he does NOT make his next free throw shot. $\square$ \% Write your answer as a percent.

Solution

Solution Steps

Step 1: Convert the player's success rate from a percentage to a decimal

To find the probability of not making the shot, we first convert the success rate from a percentage to a decimal. Given a success rate of 81%, the decimal equivalent is 81/100 = 0.81.

Step 2: Calculate the probability of not making the shot

The probability of not making the shot is calculated by subtracting the success probability from 1. Therefore, $P(\text{not making the shot}) = 1 - P(\text{success}) = 1 - 0.81 = 0.19$.

Step 3: Convert the probability of not making the shot back to a percentage

Finally, we convert the probability of not making the shot back to a percentage by multiplying by 100. Thus, $P(\text{not making the shot}) = 0.19 \times 100 = 19%$.