An interview question, please help!

you are offered to play a game of chance. A fair coin is tossed repeatedly until you get the first tails, at which point the game ends and you get the prize. The prize "pot" starts at $1 and doubles each time you get heads. So for instance, if you get heads the first toss, the pot becomes $2. If you get heads again the second toss, the pot becomes $4. If you get heads the third time, the pot becomes $8. If the fourth toss gives you the tail of the coin, you win and take home the $8 prize.
Before you play, you must pay a fee to enter this game. The question is, what's the maximum amount you're willing to pay in order to play this game?

所有跟帖： 

• 回複：An interview question, please help! -bujidao- ♂ (41 bytes) () 03/25/2009 postreply 16:51:39

• No -0.0001- ♂ (0 bytes) () 03/26/2009 postreply 05:02:24

• 早上你老婆給你的錢減去晚上回家的車費 -康MM- ♀ (36 bytes) () 03/25/2009 postreply 18:07:32

• I don't think so. -0.0001- ♂ (0 bytes) () 03/26/2009 postreply 05:03:06

• why not? :) -idiot94- ♂ (0 bytes) () 03/26/2009 postreply 08:37:20

• 那要看他兜裏有多少錢了吧，要是有個千八百的千萬別聽康mm的 -圓夢- ♀ (0 bytes) () 03/26/2009 postreply 16:13:38

• This is a quant question. -0.0001- ♂ (0 bytes) () 03/26/2009 postreply 19:47:48

• $2 -dayuwang- ♂ (131 bytes) () 03/26/2009 postreply 14:13:47

• 回複：An interview question, please help! -letmeregister- ♂ (293 bytes) () 03/31/2009 postreply 07:53:38

• binomial problem?? pls look inside for answer -Allie- ♀ (411 bytes) () 04/08/2009 postreply 09:27:20