You flip a coin four times and then roll a fair six sided die four times. The coin lands heads up every time in the day shows an even number

Question

You flip a coin four times and then roll a fair six sided die four times. The coin lands heads up every time in the day shows an even number every time.

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Xavia 5 years 2021-08-03T23:49:09+00:00 1 Answers 66 views 0

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  1. minhkhoi
    0
    2021-08-03T23:50:13+00:00
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    Answer:

    0.00390625

    Step-by-step explanation:

    For coins :

    Number of rolls, trials, n = 4

    P(heads) = 0.5

    Using binomial probability formula :

    P(x =x) : nCr * p^x q ;

    P(obtaining exactly 4 heads) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625

    P(even number from 4 coin tosses)

    Even faces = (2,4,6)

    Total faces = (1,2,3,4,5,6)

    P(success) = 3/6 = 0.5

    P(obtaining exactly 4 even) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625

    Hence, obtaining 4 even outcomes and 4 heads = 0.0625 * 0.0625 =0.00390625

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