Practice Binomial Distribution in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The probability distribution of the number of successes in n independent yes/no trials, each with probability p.

Flip a biased coin n timesβ€”how many heads? The binomial distribution gives the probability of each count.

Example 1

medium
A fair coin is flipped 8 times. What is the probability of getting exactly 5 heads?

Example 2

hard
A multiple-choice quiz has 10 questions, each with 4 choices. If a student guesses randomly, what is the probability of getting at least 2 correct?

Example 3

medium
A basketball player has a 70\% free-throw success rate. In 6 attempts, what is the probability of making exactly 4?

Example 4

medium
A student guesses on 7 true-or-false questions. What is the probability of getting at least 6 correct?