23. Multiple choice You take a quiz with 6 multiple choice questions. After you

Question

23. Multiple choice You take a quiz with 6 multiple choice questions. After you studied, you estimated that you would have about an 80% chance of getting any individ- ual question right. What are your chances of getting them all right? Use at least 20 trials. 24. Lucky guessing? A friend of yours who took the mul- tiple choice quiz in Exercise 23 got all 6 questions right, but now claims to have guessed blindly on every ques- tion. If each question offered 4 possible answers, do you believe her? Explain, basing your argument or tion involving at least 10 trials.

Explanation / Answer

solutions =

23)Since each of the 6 questions is independent of each other, the solution is simply the multiplication of the probabilities ...

Answer = (0.80)^6 = 0.26 . Answers will vary, but avera

ge answer will be about 26%.

24) Answers will vary, but few s

imulations will have any runs g

etting all 6 correct, leading us to conclude that the

probability is very small. (The true probability is 0.00024.)

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