you are given a 12 question multiple choice quiz what is the probability that you will answer exactly 8 of the correctly by guessing assume that each question has 4 options

Answer :

probability of correct answer = 1/4

probability of a wrong answer = 3/4

probability of answering 8 out of 12 correctly:
12C8 * (1/4)^8 * (3/4)^4 = 
12C8 = 495

495 x (1/4)^8 x (3/4)^4 = 0.00239 

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