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Numbered Cards (Posted on 2007-07-23) Difficulty: 4 of 5
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)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: statistics on the 126hoodat2007-07-25 03:18:53
statistics on the 126Charlie2007-07-24 13:42:56
re(3): Jer: -- the rest of the tableCharlie2007-07-24 12:56:02
re(2): Jer:Charlie2007-07-24 12:53:38
re: Jer:Charlie2007-07-24 10:44:24
re(3): computer-assisted solutionCharlie2007-07-24 10:27:27
Some ThoughtsJer:hoodat2007-07-24 09:37:06
re(2): computer-assisted solutionVernon Lewis2007-07-24 04:14:15
re: computer-assisted solutionCharlie2007-07-24 00:06:53
Solutioncomputer-assisted solutionCharlie2007-07-23 23:46:20
re: Some starting thoughtsJer2007-07-23 20:34:51
Some ThoughtsSome starting thoughtsLeming2007-07-23 14:39:02
SolutionSolution to a & bhoodat2007-07-23 14:32:23
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