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 Flipping Coins (Posted on 2004-10-13)
You play a coin flipping game with 5 coins. On round 1 you flip all of them. On round 2, you pick up all the ones that came up tails (leaving all the heads alone) and flip them again. You continue to do this until all the coins are heads. For example:
```Round 1:  H T T H T
Round 2:  - H T - H
Round 3:  - - T - -
Round 4:  - - T - -
Round 5:  - - H - -
```
Done in 5 Rounds.

What is the expected number of rounds you'll need to finish the game?
What is the probability you will finish the game in 3 rounds or less?

 See The Solution Submitted by Brian Smith Rating: 3.7143 (7 votes)

 Subject Author Date The other way... Ady TZIDON 2015-01-20 05:24:35 Answers Math Man 2015-01-19 08:47:53 not to be picky humfoozneydannle 2005-01-02 02:17:26 re: No Subject Michael 2004-11-21 17:00:50 No Subject Michael 2004-11-21 16:43:29 how to get 2470/651 owl 2004-10-24 01:53:19 re(3): About the expected value Bon 2004-10-23 05:09:29 re(2): New approach bernie 2004-10-16 22:21:11 re(2): About the expected value Charlie 2004-10-15 15:17:35 re: About the expected value nikki 2004-10-15 13:14:39 re: New approach Charlie 2004-10-15 03:58:53 About the expected value Charlie 2004-10-15 03:56:13 To bernie nikki 2004-10-14 20:46:18 To Nikki bernie 2004-10-14 20:33:27 My approach - matches penny's nikki 2004-10-14 20:22:04 New approach bernie 2004-10-14 18:56:55 re: solution (raw form) Charlie 2004-10-13 19:46:51 re: solution (raw form) Charlie 2004-10-13 19:21:42 simulation for part 1 Charlie 2004-10-13 18:58:19 solution (raw form) Charlie 2004-10-13 18:37:50 Who gives a flip ? (Solution) Penny 2004-10-13 17:46:50 Solution to second part Jer 2004-10-13 17:46:16 re: Solution to First Question (high chance of error) David Shin 2004-10-13 17:30:08 Solution to First Question (high chance of error) David Shin 2004-10-13 17:26:05 re: Flip vs. Toss RandyOrton 2004-10-13 17:12:57 Flip vs. Toss nikki 2004-10-13 16:56:56

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