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Math Help - Forming a function of heads vs. tails.

  1. #1
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    Forming a function of heads vs. tails.

    Heres the procedure:

    1. I take a 100 nickels into a bowl and shake.
    2. Dump them all out on a table and remove all the "heads".
    3. Put remaining nickels back into bowl and repeat until no nickels are left.

    How do I write a functional form for the number of nickels remaining as a function of the number of shakes?

    Thanks,

    Jim
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  2. #2
    GAMMA Mathematics
    colby2152's Avatar
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    Quote Originally Posted by Jim Newt View Post
    Heres the procedure:

    1. I take a 100 nickels into a bowl and shake.
    2. Dump them all out on a table and remove all the "heads".
    3. Put remaining nickels back into bowl and repeat until no nickels are left.

    How do I write a functional form for the number of nickels remaining as a function of the number of shakes?

    Thanks,

    Jim
    Being a completely random experiment, you should expect to lose half of the nickels after each shake...

    f(t)=100\left(\frac{1}{2}\right)^t, where t is a non-negative integer
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