Math

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What are the odds in favor of getting at least one head in three successive flips of a coin?
Answer: 1/2
Is this correct?
Could you please explain if I got it wrong?
Thanks.

  • Math -

    No. Figure the probability of getting three tails in three tosses, then the probability of getting at least one head is that subtracted from one.

    Pr(atleastoneHead)=1-Pr(three tails)

  • Math -

    The sample space of outcomes is small enough so we can list them
    HHH
    HHT
    HTH
    HTT
    THH
    THT
    TTH
    TTT

    notice that there are 7 with at least one H, and only one with no H

    so the odds in favour of getting at least one head in three successive flips of a coin is 7:1

    (I hope you meant "odds" and not probability.
    The prob of at least one head is 7/8

    odds in favour of some some event = (prob of that event):(prob of NOT that event)

  • Math -

    Thanks.

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