Question

A basketball player makes 160 out of 200 free throws. we would estimate the probability that the player makes his next free throw to be

Answer 1

The estimated probability of the basketball player making the next free throw is 0.8 or 80%, calculated by dividing the number of successful throws by total attempts (160/200).

Step-by-step explanation:

The student's question involves estimating the probability of a basketball player making the next free throw based on past performance. Given the player made 160 out of 200 free throws, the estimated probability is calculated by dividing the number of successful throws by the total number of throws attempted. Therefore, the estimated probability is:

P(successful free throw) = Number of successful free throws / Total free throws attempted
P(successful free throw) = 160 / 200 = 0.8 or 80%

Probability lessons often use sports examples to explain concepts because they provide clear, real-world instances of chance and outcomes. To further understand the concept, one can look at various situations, such as Helen's basketball free throw practice where P(C) = 0.75 and P(D) = 0.75 for her making each shot, or Carlos's soccer goal shooting with a probability of 0.65 for each shot, and special situations like streak shooting where probabilities may change after a successful event.

Answer 2

The probability of the player making the next free throw will be based on the experimental probability that has already happened. So if he makes 160 out of 200, that is an 80% (4 out of 5) probability because this is equivalent to 80 out of 100 or 4 out of 5.