Binomial Theorem

Practice Questions

Algebra II › Binomial Theorem

Questions
10
1

A fair coin is tossed 50 times. What is the expected number of heads?

2

A fair coin is tossed 10 times. What is the probability that four heads will be observed?

3

Assume that you guess on each question of a multiple choice test. There are 12 questions and each question has 4 possible answers. What is the probability of getting exactly 8 answers correct?

4

You're taking a multiple choice quiz that has questions. If each question has choices and you guess on all of them, what is the probability of getting exactly questions correct?

5

Suppose Billy takes a 5 question multiple choice test that has 5 answer choices per question. What is the probability that Billy will get exactly four correct to pass the test?

6

What is the coefficient of in the polynomial

7

A student takes a 12 question multiple choice test. There are 5 answer choices, and the student guesses on all the questions. What is the probability the student will get exactly 7 questions correct in order to pass? Round to 5 decimal places.

8

What is the coefficient of if the expression is expanded?

9

Which is equivalent to ?

10

Suppose a competitor has to answer four out of six multiple choice questions correctly to win a prize. There are four answer choices per question. What is the probability that this competitor will succeed answering exactly four correct questions if he or she guessed on all the questions?

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