SOLUTION: A).Suppose an exam consists of 8 true / false questions. If a student guesses randomly on each question , what is the probability of exactly 4 correct answers? B). If a student

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Question 1125588: A).Suppose an exam consists of 8 true / false questions. If a student guesses randomly on each question , what is the probability of exactly 4 correct answers?
B). If a student guesses randomly on each question, what are the odds in favor of 4 question correct?

Answer by ikleyn(52866) About Me  (Show Source):
You can put this solution on YOUR website!
.

I will answer question A) only.

     C%5B8%5D%5E4%2A%281%2F2%29%5E4%2A%281%2F2%29%5E4 = %28%288%2A7%2A6%2A5%29%2F%281%2A2%2A3%2A4%29%29%2A%281%2F2%29%5E8 = 70%2F2%5E8 = 0.2734 = 27.34%  (approximately).