Multiple-choice questions each have 3 possible answers, one of which is correct.

Question

Multiple-choice questions each have 3 possible answers, one of which is correct. Assume that you guess the answers to 3 such questions. Use the multiplication rule to find the probability that the first two guesses are wrong and the third is correct. That is, find P(WWC), where C denotes a correct answer and W denotes a wrong answer. (round answer to 4 decimal places) P(wwC)0.148 Enter an integer or decimal number [more..] What is the probability of getting exactly one correct answer when 3 guesses are made? (round answer to 4 decimal places) P(exactly one correct answer)-

Explanation / Answer

Answer: There are three possibilities i.e. first guess may be correct or second guess may be correct or third guess may be correct.

for first correct guess

P[CWW]=.148

for second correct guess

P[WCW]=.148

for third correct guess

P[WWC]=.148

i.e. the required probability is =.148+.148+.148=.444

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