On a particular quiz, 85% of my students got the first question right, of the students who did get the first question right 95% got the second question right, of the students who didn't get the first question right 72% got the second question right. What is the probability that a random student got both questions wrong?

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Asked Nov 8, 2019
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On a particular quiz, 85% of my students got the first question right, of the students who did get the first question right 95% got the second question right, of the students who didn't get the first question right 72% got the second question right. What is the probability that a random student got both questions wrong?

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Expert Answer

Step 1

According to the provided data,

P(first right)=0.85

P(second right when first is right) = 0.95

P(second wrong when first is right) = 1 - P(second right when first is right) = 1 - 0.95 = 0.05

P(first wrong)= 1 &ndas...

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