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A quiz consists of seven multiple choicequestions. Each question has four choices.A student who forgot to study guessesrandomly on every question. What is theprobability that the student answersexactly five questions correctly?

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Solution

- The probability of him getting 1 queston correctly given tahat there is only one correct option out of 4 optins,

[tex]\begin{gathered} P(correct)=\frac{1}{4} \\ \\ P(incorrect)=1-P(correct) \\ P(incorrect)=1-\frac{1}{4}=\frac{3}{4} \end{gathered}[/tex]

- Since here are questions, it implies that there are multiplye trials the student has.

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