11 of 13 (6 complete) This Question: 1 pt ch have five possible answers (a. b, c

Question

11 of 13 (6 complete) This Question: 1 pt ch have five possible answers (a. b, c. d. e), one of which is correct Assume that you guess the answers to three such questions Muliple-choice questions eac a. Use the multiplication rule to find P(CCW), where C denotes a correct answer and W denotes a wrong answer Pccw-Type an exact answer) s of two correct answers and one wrong answer, then find the probability for each entry in the list PiCcw)-see above P(CWC) P(WCC) Type exact answers ) c. Based on the preceding results, what is the probability of getting exactly two correct answers when three guesses are made? Type an exact answer) Enter your answer in each of the answer boxes

Explanation / Answer

P(C) = 1/5

P(W) = 1 - 1/5 = 4/5

a. P(CCW)

= P(C) * P(C) * P(W)

= 1/5 * 1/5 * 4/5

= 4/125

= 0.032.

b. P(CCW) = 0.032

P(CWC) = 1/5 * 4/5 * 1/5 = 4/125 = 0.032

P(WCC) = 4/5 * 1/5 * 1/5 = 4/125 = 0.032.

c. Probably of getting exactly two correct answers

= 0.032 + 0.032 + 0.032

= 0.096.

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