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8 October, 20:52

A couple plans to have four children. Using a tree diagram, obtain the sample space. Then, find the probability that the family has no boys.

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  1. 8 October, 20:58
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    Use b for boy and g for girl.

    This is the resultant combinations:

    b b b b

    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

    g g g g

    If you count all the possibilities they are 16. Which is the same as 2^4 = 2*2*2*2, so I know that I didn't miss a combination.

    The possibility of having no boys is one (g g g g combination) in 16, so the probability is 1 / 16 = 0,0625.
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