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Al, Bob and Carlos are playing a silly game. Al flips a coin. If he gets heads, the game ends and he wins. If not, Bob flips the coin. If he gets heads, the game ends and he wins. If not, Carlos flips the coin. If he gets heads, the game ends and he wins. If not, the coin is returned to Al and the entire process begins again. The game continues until soneone gets heads. What is the probability of each of them winning?
Please explain this in a way that is comprehensible to a 9th grader.

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Solution Summary

Calculates probability of winning in a game.

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Al, Bob and Carlos are playing a silly game. Al flips a coin. If he gets heads, the game ends and he wins. If not, Bob flips the coin. If he gets heads, the game ends and he wins. If not, Carlos flips the coin. If he gets heads, the game ends and he wins. If not, the coin is returned to Al and the entire process begins again. The game continues until soneone gets heads. What is the probability of each of them winning?
Please explain this in a way that is comprehensible to a 9th grader.

Al has the 1st, 4th , 7th ----- flips assuming the game does not end before a particular flip
Bob has the 2nd, 5th , 8th ----- flipss assuming the game does not end before a particular flip
Carlos has the 3rd, 6th , 9th ----- flips assuming the game does not end before a particular flip

Probability of head= 1/2
Probability of tail= 1/2 ...

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