The following is a binomial scenario. Jolene walked into a classroom with her fr

Question

The following is a binomial scenario. Jolene walked into a classroom with her friend to continue their conversation and was still in the room when her friend’s class began. The teacher handed out an eleven-question, multiple-choice quiz. On a whim, Jolene decided to take it even though she would have to just guess at the answers. If each question has exactly four answer choices of which only one is correct, what is the probability that Jolene will get all eleven questions right by simply guessing? Round your answer to four decimal places.

Explanation / Answer

P(Getting one question correct) = 1/4

Since we have four choices and only one is correct.

Hence,

P(Getting all 11 questions correct) = (1/4)11 = 1/4194304 = 0.0000002384

So after rounding out to 4 decimal places,

P(Getting all 11 questions correct) = 0

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