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 Probability Discussions of probability theory

 04-15-2017, 05:52 AM #1 CheckN0rris journeyman   Join Date: May 2015 Posts: 370 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!
 04-15-2017, 07:16 AM #2 CheckN0rris journeyman   Join Date: May 2015 Posts: 370 Re: Probability question, please help :) NVM, got it figured out Thread can be closed
 04-15-2017, 08:32 AM #3 NewOldGuy Pooh-Bah   Join Date: Mar 2009 Location: In the wires Posts: 5,004 Re: Probability question, please help :) If you didn't already, see the Coupon Collector problem.
 04-16-2017, 05:41 AM #4 CheckN0rris journeyman   Join Date: May 2015 Posts: 370 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.
 04-20-2017, 07:58 PM #5 David Sklansky Administrator     Join Date: Aug 2002 Posts: 13,885 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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