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math - probability

a) What is the probability of obtaining 2 Heads when a coin is tossed twice?
b) What is the probability of obtaining 1 Head when a coin is tossed twice?

Keep in mind, the coins are not tossed simultaneously.

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anonymous

  1. Taking H = getting heads, and T = getting tails,

    The sample space of the event of tossing a coin twice is as follows:

    S = {(H,H),(T,H),(H,T),(H,H)}

    There are a total of four outcomes.
    Probability of an event = (Favourable outcomes/Total outcomes)

    a) Fav. outcomes = 1
    P(E) = 1/4

    b) Fav. outcomes = 2
    P(E) = 2/4 = 1/2

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    Arora

  2. PS, your question made the point:
    "Keep in mind, the coins are not tossed simultaneously."

    The outcomes of two coins tossed simultaneously or a single coin tossed twice in succession would be the same.
    The same would be true for 3 coins tossed simultaneously or a single coin tossed 3 times in succession,
    4 coins ... , etc.

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    Reiny

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