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5 March, 22:40

If a coin is tossed 30 times what is the probability of guessing right 22 times or 73% of the time?

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  1. 5 March, 23:03
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    0.545%

    Step-by-step explanation:

    The probability of guessing each coin toss is 50% or ½. Using binomial probability, the probability of guessing exactly 22 coin tosses is:

    P = nCr pʳ qⁿ⁻ʳ

    P = ₃₀C₂₂ (½) ²² (1-½) ³⁰⁻²²

    P ≈ 0.00545

    So the probability is 0.545%.
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