Multiple-choice questions each have fre possible answers (a, b. c,d, e) one of w

Question

Multiple-choice questions each have fre possible answers (a, b. c,d, e) one of which is correct Assume that you quess the answers to three such questions a. Use the multiplication rule to ind P/CCW), where C denotes a conect answer and W denotes a wrong answer Plccm-ood (Type an exact answer ) b. Beginning with CCW, make a complete list of the diferent possible arrangements of two correct answers and one wrong answer, then Snd the probability for each entry in the lust Piccw)-see above (Type exact answers) c. Based on the preceding results, what is the probability of getting exactly two comect answers when three guesses are made? 0 096 (Ty pe an exact answer)

Explanation / Answer

P(C) = 1/5 = 0.2 and P(W) = 4/5 = 0.8 (Clearly P(c)+P(w) = 1)

A)P(CCW) = P(C)P(C)P(W) (All independent)=(0.2)x(0.2)x(0.8) = 0.032(ans)

B) Different arrangements are:

C) Probability of getting exactly two answers correct when three guesses are made

   = P(CCW)+ P(CWC)+ P(WCC)=(0.032)+(0.032)+(0.032) = 0.096 (ans)

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