SOLUTION: Amy and Martin play a game in which they take turns flipping a fair coin until one of them flips a head. The first person to flip a head is the winner. If Amy goes first, find the

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Question 248695: Amy and Martin play a game in which they take turns flipping a fair coin until one of them flips a head. The first person to flip a head is the winner. If Amy goes first, find the probability that she wins.
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
Chances of winning on that flip before the game begins.
A==M
1/2 1/4
1/8 1/16
1/32 1/64
.
1/8 / 1/2 = 1/4
1/32 / 1/8 = 1/4
This is an infinite geometric sequence.
r=1/4=.25
Amy's probability of winning.
.
Ed

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