A “True or False” test has five questions. If you guess the answers, what is the probability that you will get exactly two co

Question

A “True or False” test has five questions.
If you guess the answers, what is the
probability that you will get exactly two
correct?​

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Liliana 2 weeks 2021-09-10T22:07:22+00:00 1 Answer 0

Answers ( )

    0
    2021-09-10T22:08:54+00:00

    Answer:

    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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