Help Solving it.

Question

Multiple-choice questions each have 3 possible answers, one of which is correct. Assume that you guess the answers to 5 such questions.

Use the multiplication rule to find the probability that the first four guesses are wrong and the fifth is correct. That is, find �(�����), where C denotes a correct answer and W denotes a wrong answer.

(round answer to 4 decimal places)

�(�����)= 

Use the binomial distribution to find the probability of getting exactly one correct answer when 5 guesses are made?

(round answer to 4 decimal places)

P(exactly one correct answer) =

Answer 1

The probability to guess correctly on a question is p(correct) = 1 out of 3 = 1/3.

The rest is up to you and the binomial calculator/formula.