Binomial Distribution Problems

A fair coin is flipped 5 times. What is the probability of getting exactly 3 heads?

• 0.75

• 0.3125

• 0.625

• 0.4375

In a multiple-choice test with 5 questions, each question has 4 choices. If a student guesses on all questions, what is the probability of getting at least 3 questions correct?

• 0.0327

• 0.5

• 0.0025

• 0.125

A basketball player has a 70% free-throw shooting percentage. If he takes 10 free throws, what is the probability that he makes exactly 7 shots?

• 0.166827932

• 0.266827932

• 0.570827932

• 0.366827932

A box contains 10 red balls and 5 blue balls. If 4 balls are randomly drawn without replacement, what is the probability of getting exactly 2 red balls?

• 0.52381

• 0.47619

• 0.28571

• 0.61905

In a group of 8 people, 4 are left-handed. If 3 people are randomly selected, what is the probability that exactly 2 of them are left-handed?

• 4/7

• 1/3

• 3/7

• 2/7