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16 October, 14:16

Given a family with four children, find the probability of the event.

The oldest is a girl and the youngest is a boy , given that there is at least one boy and at least one girl.

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  1. 16 October, 14:29
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    28.57% probability that the oldest is a girl and the youngest is a boy , given that there is at least one boy and at least one girl.

    Step-by-step explanation:

    A probability is the number of desired outcomes divided by the number of total outcomes.

    These are all the possible outcomes: from youngest to oldest, b is boy and g is girl

    b - b - b - g

    b - b - g - b

    b - b - g - g

    b - g - b - b

    b - g - b - g

    b - g - g - b

    b - g - g - g

    g - b - b - b

    g - b - b - g

    g - b - g - b

    g - b - g - g

    g - g - b - b

    g - g - b - g

    g - g - g - b

    The nuber of total outcomes is 14.

    Desired outcomes:

    Oldest (last) girl, youngest (first) boy

    b - b - b - g

    b - b - g - g

    b - g - b - g

    b - g - g - g

    So 4 desired outcomes

    Probability:

    4/14 = 0.2857

    28.57% probability that the oldest is a girl and the youngest is a boy , given that there is at least one boy and at least one girl.
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