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31 March, 17:25

A "True or False" test has five questions.

If you guess the answers, what is the

probability that you will get exactly two

correct?

+1
Answers (1)
  1. 31 March, 17:34
    0
    5/16.

    Step-by-step explanation:

    The probability of getting a correct answer on one question is 1/2 and the probability of getting it wrong is 1 - 1/2 = 1/2.

    The probability of the first 2 being correct and the next 3 wrong = (1/2) ^5 = 1/32.

    There are 10 possible combinations of this (first wrong the 2nd and third right and last 2 wrong, etc).

    So the required probability is 10 * 1 / 32

    = 10/32

    = 5/16.
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