math: not sure how to figure out

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What are the odds against getting exactly two heads in three successive flips of a coin?

The odds for are: 2/3

but I do not know how to figure out the probability of odds against getting exactly two heads in three successive flips.

  • math: not sure how to figure out -

    "probability of odds" ? , no such thing

    odds and probability are closely related

    odds in favour of some event
    = prob(event will happen) : prob(event will not happen)

    so two heads in 3 flips could be
    HHT
    HTH
    THH, which would be 3 cases out of the 8
    prob of exactly two heads out of 3 = 3/5
    prob of NOT exactly two heads out of 3 = 5/8

    odds against exactly 2 heads out of 3 flips = 5:3

  • math: not sure how to figure out -

    Suppose a coin is biased so that it has the probilities below for landing on heads or tails on a single toss of the coin.

    P(h)=0.5020 P(t)=0.4980

    If this coin is tossed twice find the probability P(hh)

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