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Don't lose too fast (Posted on 2011-01-25) Difficulty: 3 of 5
A game is played starting with 6 fair coins laid out with heads face up.

Each round consists of flipping all of the coins showing heads.

If fewer than half of the flipped coins come up heads the player loses.

Rounds continue until the player either loses or has one heads remaining.

The player wins by getting to one heads without losing.

What is the probability of winning this game?

Examples: 6→4→1 would be a loss. (1 is less than half of 4.) 6→5→3→2→2→2→1 would be a win.

No Solution Yet Submitted by Jer    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolution (using Excel)hoodat2011-01-26 00:41:31
re: Hmm. Good strategy.Charlie2011-01-25 15:40:17
Solutioncomputer solutionCharlie2011-01-25 15:30:27
Some ThoughtsHmm. Good strategy.Steve Herman2011-01-25 14:16:19
Some ThoughtsA start (spoiler)Steve Herman2011-01-25 13:48:25
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