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Math Help - help probability question

  1. #1
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    help probability question

    describe a way to simulate the have-childern-until -you -get -a -boy plan that does not use coins?
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  2. #2
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    Do you know how to construct truth tables?
    Here is one for three variables:
    \begin{array}{ccc}<br />
   T & T & T  \\<br />
   T & T & F  \\<br />
   T & F & T  \\<br />
   T & F & F  \\<br />
   F & T & T  \\<br />
   F & T & F  \\<br />
   F & F & T  \\<br />
   F & F & F  \\ \end{array}
    Now replace F with B for boy and T with G for girl.
    Then you show how a family can have three children.
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  3. #3
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    Quote Originally Posted by rose1 View Post
    describe a way to simulate the have-childern-until -you -get -a -boy plan that does not use coins?
    Hi rose1,

    If I understand your question correctly, you are asking how to conduct a simulation in which you have to make a random choice between two alternatives, each of which is equally likely, without flipping a coin.

    There are many ways. In computer simulations, one generally uses a "pseudo-random number generator". This is an algorithm which produces numbers which look like they come from a Uniform(0,1) distribution (although they actually do not). You could draw a random number from the generator and say the child is a boy if the number is less than 1/2, otherwise a girl.

    Alternatively, you can use some other physical method of randomization; for example, you could roll a die and say the child is a boy if the number on the die is even.
    Last edited by awkward; February 16th 2009 at 10:40 AM. Reason: can't type
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