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    Computing Probability and Odds

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    Three coins are tossed.

    Using H to indicate heads and T to indicate tails, give the following. (To indicate that the first coin is tails, the second coin is tails, and the third coin is heads enter TTH. Express the answer as a comma-separated list.)

    a. the sample space S
    b. the event E that exactly two are heads
    c. the event F that at least two are heads
    d. the event G that all three are heads

    Give the p(E), p(F), p(G), o(E), o(F), o(G), where p(X) indicates probability of event X, and o(X) indicates odds for event X.

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    https://brainmass.com/math/basic-algebra/computing-probability-odds-592164

    Solution Preview

    a. the sample space S

    S = { TTT, TTH, THT, THH, HTT, HTH, HHT, HHH }

    b. the event E that exactly two are heads

    E = { THH, HTH, HHT }

    c. the event F that at least two are ...

    Solution Summary

    Step by step computations for probability and odds are shown with brief explanation.

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