Question

Find the probability of each event. A basketball player has a 50% chance of making each free throw. What is the probability that the player makes at least seven out of eight free throws?

Answer 1

Hey there! I'm happy to help!

We want to find the probability that the player makes at least seven out of eight free throws. First, we find the probability of them making seven free throws.

$\frac{1}{2}^7=\frac{1}{128}$

Then, we find the probability of them making eight, which is another possibility that fits this.

$\frac{1}{2}^8=\frac{1}{256}$

Now, we add the probability of these two events happening.

$\frac{1}{128}+\frac{1}{256}=\frac{3}{256}$

Therefore, the probability that the player makes at least seven of eight free throws is 3/256 or about 1.17%

Have a wonderful day! :D