向概率牛求教一道概率题

问题描述:

向概率牛求教一道概率题
Two players take turns flipping a fair coin.
The game ends when the same outcome occurs on three flips in a row.
Whichever player fli pped the coin last,wins.For example:
Player 1 flips H
Player 2 flips T
Player 1 flips T
Player 2 flips H
Player 1 flips H
Player 2 flips H

Method 1:first flip:no one can winsecond flip:no one can winthird flip:first player win with probability 1/4 (HHH or TTT)fouth flip:second player win with probablility (3/4)*(1/4)fifth flip:first play...