One coin in a collection of 5 is rigged to have a probability of showing heads equal to 0.2. The rest are fair (probability 0.5). A coin is

Question

One coin in a collection of 5 is rigged to have a probability of showing heads equal to 0.2. The rest are fair (probability 0.5). A coin is chosen at random from the lot and tossed 3 times. It turns up heads 3 times in a row. What is the probability that it is the rigged coin given that it showed heads in 3 out of 3 tosses?

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Melanie 5 days 2021-10-10T05:33:00+00:00 1 Answer 0

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    2021-10-10T05:34:51+00:00

    Answer:

    The probability that it is the rigged coin given that it showed heads in 3 out of 3 tosses is 0.0016.

    Step-by-step explanation:

    The probability of the chosen coin being rigged is \frac{1}{5}.

    It is also given that, the outcome is a head all the 3 times.

    The probability that all the outcomes will be head is 0.2 \times0.2\times0.2 = 0.008.

    According to the question, the probability is \frac{1}{5} \times0.008 = 0.0016.

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45:7+7-4:2-5:5*4+35:2 =? ( )