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 Numbered Cards (Posted on 2007-07-23)
Consider a deck of 10 cards numbered in order from 1 to 10. Pick up the first five cards (1 to 5). Randomly discard one and take the 6. Randomly discard one again and take the 7. Continue until the 10 has just been taken.

a) What is the expected average of the five cards in the final hand?
b) What is the expected value of the smallest card in the final hand?

Recompute parts a) and b) where you still hold 5 cards, but go all the way through a 100 card deck.

 See The Solution Submitted by Jer Rating: 4.0000 (1 votes)

 Subject Author Date re: statistics on the 126 hoodat 2007-07-25 03:18:53 statistics on the 126 Charlie 2007-07-24 13:42:56 re(3): Jer: -- the rest of the table Charlie 2007-07-24 12:56:02 re(2): Jer: Charlie 2007-07-24 12:53:38 re: Jer: Charlie 2007-07-24 10:44:24 re(3): computer-assisted solution Charlie 2007-07-24 10:27:27 Jer: hoodat 2007-07-24 09:37:06 re(2): computer-assisted solution Vernon Lewis 2007-07-24 04:14:15 re: computer-assisted solution Charlie 2007-07-24 00:06:53 computer-assisted solution Charlie 2007-07-23 23:46:20 re: Some starting thoughts Jer 2007-07-23 20:34:51 Some starting thoughts Leming 2007-07-23 14:39:02 Solution to a & b hoodat 2007-07-23 14:32:23

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