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29 April, 21:11

All or None

You have $100 and, never mind why, you must convert it to $1000. Anything less is no good. Your only way to make money is to gamble for it. Your chance of winning one bet is p.

Here are two extreme strategies:

Maximum strategy: bet as much as you can each time. To be smart, if you have less than $500 you bet it all. If you have more, you bet enough to get to $1000.

Minimum strategy: bet $1 each time.

If p <.5 (the odds are against you) which is the better strategy?

What about p >.5 or p =.5?

Minimum strategy: bet $1 each time.

If p <.5 (the odds are against you) which is the better strategy?

What about p >.5 or p =.5?

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Answers (1)
  1. 29 April, 23:06
    0
    the minimum strategy is the best if p >.5 or p =.5; but if p is less then. 5 the best bet is maximum.
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