A multiple-choice exam (4 choices per question of which only one is correct) con

Question

A multiple-choice exam (4 choices per question of which only one is correct) consists of 120 questions. You must answer 60 or more correctly to pass. You decide to prepare well for 1 section (20 questions in each section), this ensures 20 are correct right away. For the remaining sections, you decide to spend enough time on the material such that you can eliminate 2 obviously incorrect answers for each question and pick one from the remaining two. What is the probability that you will pass the exam?

Explanation / Answer

There are total of 6 sections (6*20 = 120)

Given that for section 1, the score will be 100% and hence,

We need to find the probability that out of 100 questions, 40 or more should be correct.

P(Correcct answer) = 1/2 = 0.5

P(Incorrect answer) = 1 - 1/2 = 0.5

So.

P(40 or more correct)

= 1 - P(less than 40 correct)

= 1 - P(Less than or equal to 39 correct)

= 1 - binomdist(39, 100, 0.5, TRUE) [Excel Formula]

= 1 - 0.0176

= 0.9824

Hence,

Probability of passing the exam is 0.9824.

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