Multiple-choice questions each have 6 possible answers one of which is correct.
ID: 3063228 • Letter: M
Question
Multiple-choice questions each have 6 possible answers one of which is correct. Assume that you guess the answers to 5 such questions. Use the multiplication rule to find the probability that the first four guesses are wrong and the fifth is correct. That is find P(WWWWC), where C denotes correct answer and W denotes a wrong answer.(round answer to 4 decimal places). a) P(WWWWC)=.............. b) What is the probability of getting exactly one correct answer when 5 guesses are made? P(exactly one correct answer)=.......... Multiple-choice questions each have 6 possible answers one of which is correct. Assume that you guess the answers to 5 such questions. Use the multiplication rule to find the probability that the first four guesses are wrong and the fifth is correct. That is find P(WWWWC), where C denotes correct answer and W denotes a wrong answer.(round answer to 4 decimal places). a) P(WWWWC)=.............. b) What is the probability of getting exactly one correct answer when 5 guesses are made? P(exactly one correct answer)=.......... a) P(WWWWC)=.............. b) What is the probability of getting exactly one correct answer when 5 guesses are made? P(exactly one correct answer)=..........Explanation / Answer
Solution:- P(C) = 1/6 , P(W) = 5/6
a) P(WWWWC) = (5/6)*(5/6)*(5/6)*(5/6)*(1/6) = 0.0804
b) P(X = 1) = 0.4019
=> n = 5 , p = 0.1667
Formula :- nCr * p^r * q^(n-r)
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