# Edward has to take asixsix​-question​multiple-choice quiz in his sociology class. Each question has four choices for​ answers, of which only one is correct. Assuming that Edward guesses on allsixsix​questions, what is the probability that he will answer ​a) allsixsixquestions​ correctly, ​b) exactlytwotwoquestions​ correctly, ​c) at leasttwotwoquestions correctly.

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Edward has to take a

sixsix​-question

​multiple-choice quiz in his sociology class. Each question has four choices for​ answers, of which only one is correct. Assuming that Edward guesses on all

sixsix

​questions, what is the probability that he will answer ​a) all

sixsix

questions​ correctly, ​b) exactly

twotwo

questions​ correctly, ​c) at least

twotwo

questions correctly.

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Step 1

a.

The probability that Edward will answer all the six questions correctly is,

Step 2

Thus, the probability that Edward will answer all the six questions correctly is 0.0002.

b.

The probability that Edward will answer exactly two questions correctly is,

Step 3

Thus, the probability that Edward will answer exactly two questions correctly is 0.2966.

c.

&nb...

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