Question

Caitlyn finds that experimental probability of her making a three-point shot is 30%. Out of 500 three-point shots, about how many could she predict she would make?

Answer 1

Answer: 150 shots.

Step-by-step explanation: Since her three-point shot probably is 30%, we can assume that for any total of three-point shots, only 30% of them will be "correctly shot."

Here are two methods of how to find the answer, depending on how your teacher is teaching you to calculate percentages.

Method A. Proportions

Therefore, let's make a proportion. Out of 500 shots, only 30% will be made.

$\frac{30}{100} =\frac{x}{500}$

Solve for x, which in a proportion, is done by cross-multiplying and then dividing.

$(30 * 500) / 100$

$= 150$

Out of all the 500 shots, only 150 can be made by her prediction.

Method B. Simple multiplication

30% is equal to 0.3

Therefore, you multiply $0.3 * 500$, which you get $150$.