Trigonometry probability problem, please show works

Question

A student takes a five-question true-false test. She hasn’t studied, so she guesses at random. By using her ESP she figures she has a 60% probability of getting any one answer right.

a) What is the probability of getting any one answer wrong?

b) Calculate the probability of getting exactly 3 of the 5 answers right.

c) What is the probability of getting at least 3 answers right?

d) What is the probability of getting no more than 2 answers right?

Answer 1

This is a binomial distribution problem and the answers come directly from the binomial.

The probability of any particular answer wrong is .4.

The probability is 3 * (.6)³ * (.4)²

I think you should be able to answer the other 2 parts by yourself now.