Probability of winner

leon2835

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Leon and Jason alternately flip a coin ( Leon first, followed by Jason). The one who gets heads first is the winner. FInd the probabilities of winning for each player.
 
Leon and Jason alternately flip a coin ( Leon first, followed by Jason). The one who gets heads first is the winner. FInd the probabilities of winning for each player.
Write two series - one for each player. Each flip of the coin has a a probability of (1/2) of whatever probability is left after all the previous flips.

Leon: (1st).....+ (3rd) ....+ (5th) + . . .

Jason:.......(2nd).....+ (4th) ...+ (6th) + . . .

What is the probability of winning on each flip? are the do those series tell you? Tell us your thoughts.
 
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