6) You study for an exam, but due to the fact that you waited too long, you only

Question

6) You study for an exam, but due to the fact that you waited too long, you only learn 67% of the material. The exam is all multiple choice, with each question having 4 choices.

a) If you come across a question for which you don't know the answer, what's the probability of getting the answer right?

b) If you come across a question for which you do know the answer, what's the probability of getting it right (hint: don't “over think” this - what does it mean if you know the answer...)?

c) What is the overall probability of getting any question correct?

Explanation / Answer

Ans:

a) The probability of getting a write answer of a question which you don't know the answer is (1-0.67)*0.25 =0.0825 or 8.25%.

b} The probability of getting a write answer of a question which you know the answer is 0.67*0.25=0.1675 or 16.75%.
c) The probability of getting a write answer is 0.25 or 25%.

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