Write all possible outcomes, when: i) a coin is tossed once. ii) a coin is tossed two times or two coins are tossed together once.

Write all possible outcomes, when: i) a coin is tossed once. ii) a coin is tossed two times or two coins are tossed together once. iii) a coin is tossed three times.

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  1. Step-by-step explanation:

    Given :

    i)a coin is tossed once.

    ii) a coin is tossed two times or two coins are tossed together once.

    iii) a coin is tossed three times.

    To find :

    Write all possible outcomes

    Solution:

    We know that

    If “n” coins are tossed once then the total number of possible outcomes are 2^n

    I) If a coin tossed once then the total possible outcomes are 2^1 = 2 .

    They are:

    Head (H)

    Tail (T)

    ii) a coin tossed two times or two coins are tossed together once then the total possible outcomes are 2^2 =4.

    They are:

    Head and Head (HH)

    Head and Tail (HT)

    Tail and Head (TH)

    Tail and Tail ( TT)

    iii)a coin is tossed three times. then the total possible outcomes are 2^3 = 8.

    They are :

    Head , Head , Head (HHH)

    Head, Head , Tail (HHT)

    Head ,Tail , Tail (HTT)

    Head, Tail , Head (HTH)

    Tail , Head , Head ( THH)

    Tail , Tail , Head ( TTH)

    Tail, Head , Tail ( THT)

    Tail , Tail , Tail (TTT)

    Used formula:

    If “n” coins are tossed once then the total number of possible outcomes are 2^n

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