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Old 04-15-2017, 05:52 AM   #1
CheckN0rris
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Probability question, please help :)

Hi there,

Hoping someone with some math skills can help me calculate the following.

We have 10 cards, every time we draw 1 card at random, we keep drawing cards until we have completed the set of 10 cards.

How many draws do we need on average to complete all 10 cards?

Thanks!
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Old 04-15-2017, 07:16 AM   #2
CheckN0rris
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Re: Probability question, please help :)

NVM, got it figured out

Thread can be closed
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Old 04-15-2017, 08:32 AM   #3
NewOldGuy
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Re: Probability question, please help :)

If you didn't already, see the Coupon Collector problem.
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Old 04-16-2017, 05:41 AM   #4
CheckN0rris
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Re: Probability question, please help :)

Thanks! was not aware of the Coupon Collector problem, but used basically the same formula to get my answer, for anyone who wonders its 29.28.
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Old 04-20-2017, 07:58 PM   #5
David Sklansky
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Re: Probability question, please help :)

You can get close with simple estimates. Each card is about even money to be picked in about 7 tries. Thus about 15/16 in 28. The chances that there are no failures in 28 tries among the ten cards is about 15/16 to the tenth power which is about one half.
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