/sci/ - Science & Math

[Anonymous No.1004328]

In a game of chance, you pay a fixed fee to enter, and then a fair coin will be tossed repeatedly until a tail first appears, ending the game. The pot starts at 1 dollar and is doubled every time a head appears. You win whatever is in the pot after the game ends. Thus you win 1 dollar if a tail appears on the first toss, 2 dollars if a head appears on the first toss and a tail on the second, 4 dollars if a head appears on the first two tosses and a tail on the third, 8 dollars if a head appears on the first three tosses and a tail on the fourth, etc. In short, you win 2k−1 dollars if the coin is tossed k times until the first tail appears.

What would be a fair price to pay for entering the game?

[Anonymous No.1004352]

I'm not sure if this is homework or a troll, but this should help:
http://en.wikipedia.org/wiki/1/2_%2B_1/4_%2B_1/8_%2B_1/16_%2B_%C2%B7_%C2%B7_%C2%B7

[JESUS No.1004358]

you will burn in hell! I hate that stupid comic!

[Anonymous No.1004361]

500 US Life points

[Anonymous No.1004368]

Kumatora has magenta hair, MAGENTA

[Anonymous No.1004391]

>>1004352

>I'm not sure if this is homework or a troll, but I should respond either way........