Problem No. 1 / 10 pts. Given A section of an exam contains 5 True-False questio

Question

Problem No. 1 / 10 pts. Given A section of an exam contains 5 True-False questions A completed exam paper is selected at random, and the 5 True/False answers are recorded. (1) List all outcomes in the sample space. (2) Assuming the outcomes to be equally likely, find the probability that all the answers are the same (3) Assumin 5 answers is True (4) Assuming the outcomes to be equally likely, find the probability that at most one of the 5 answers is True. g the outcomes to be equally likely, find the probability that exactly one of the

Explanation / Answer

1) S = {TTTTT, TTTTF, TTTFT, TTFTT,TFTTT,FTTTT, TTTFF, TTFTF, TFTTF, FTTTF, TTFFT, TFTFT, FTTFT, TFFTT, FTFTT, FFTTT, TTFFF, TFTFF, TFFTF, TFFFT, FTTFF, FTFTF, FTFFT, FFTTF, FFTFT, FFFTT, FFFFT, FFFTF, FFTFF, FTFFF, TFFFF, FFFFF}

2) answers are same = {TTTTT, FFFFF}

P(same answers) = 2/32= 1/16

3) P(one is true) = 5/32

4) P(atmost one is true) = 5+1/32 = 3/16

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