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13 October, 05:17

You toss a fair coin 4 times. What is the probability that (round to 4 decimal places) a) you get all Heads? 0.0625 Correct b) you get at least one Tail?

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  1. 13 October, 05:29
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    a) Probability (all heads) = 0.03125

    b) Probability (atleast one tail) = 0.25

    Step-by-step explanation:

    Total possible ways 0f 4 flips = 2^4 = 16

    Probability of 4 flips=1/16 = 0.0625

    a) Probability P (heads only)

    Using combination

    (heads only) = 4!/4 (4-0) !

    (heads only) = 24/48 = 1/2 = 0.5

    P (heads only) = 0.5 * 0.0625 = 0.03125

    b) using combination

    Atleast one tail = 4!/1 (4-1) ! = 4!/3!

    At least one tail = 24/6 = 4

    Probability (at least one tail) = 4 * 0.0625 = 0.25
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