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

Quote:

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Originally Posted by Jim Newt

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

, where t is a non-negative integer