Probability and Combinatorics Quiz

The video tutorial explores a probability problem involving basketball free throws. The instructor explains how to calculate the probability of making at least 3 out of 5 free throws, given an 80% success rate per throw. The tutorial covers the use of combinations and binomial probability to solve the problem, providing detailed calculations and explanations for each step. The video concludes with a summary of the findings and a brief closing remark.

What is the probability of making at least 3 out of 5 free throws if the success rate is 80%?

• 20.48%

• 50%

• 80%

• 94.21%

How do you calculate the probability of making exactly 3 out of 5 free throws?

• By adding the probabilities of making 3, 4, and 5 throws

• By using combinations and multiplying probabilities for each scenario

• By subtracting the probability of missing from 100%

• By multiplying the probability of making a throw by the number of throws

What is the probability of making exactly 3 out of 5 free throws?

• 40%

• 10%

• 20.48%

• 30%

How many ways can you choose 3 successful shots out of 5 attempts?

• 20

• 5

• 10

• 15

How do you calculate the probability of making at least 3 out of 5 free throws?

• By subtracting the probability of missing from 100%

• By using combinations and multiplying probabilities for each scenario

• By multiplying the probability of making a throw by the number of throws

• By adding the probabilities of making 3, 4, and 5 throws

What is the probability of making exactly 4 out of 5 free throws?

• 32.77%

• 40.96%

• 60%

• 50%

What is the probability of making exactly 4 out of 5 free throws using combinations?

• 0.8^4 * 0.2 * 5

• 0.8^5

• 0.8^4 * 0.2^2

• 0.8^3 * 0.2^2 * 10

What is the probability of making exactly 5 out of 5 free throws?

• 80%

• 20%

• 32.77%

• 50%

What is the probability of making exactly 5 out of 5 free throws using combinations?

• 0.8^5

• 0.8^4 * 0.2

• 0.8^3 * 0.2^2

• 0.8^2 * 0.2^3

What is the total probability of making at least 3 out of 5 free throws?

• 80%

• 94.21%

• 60%

• 50%