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In a certain game only one player can win and only one player always eventually wins. James, Austin, and Katelyn play this game together 3 times in a row. What is the probability that Katelyn wins at least one of the 3 games.?

Difficulty: 600-700 Level, Probability, Data Sufficiency (DS)

Lunes 25 de julio de 2022, por hurtado claudio

In a certain game only one player can win and only one player always eventually wins. James, Austin, and Katelyn play this game together 3 times in a row. What is the probability that Katelyn wins at least one of the 3 games.?

(1) The probability that either James or Austin wins the game is 3/4
(2) James and Katelyn have an equal probability of winning the game.


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EXPLANATION:
Probability that Katelyn wins atleast 1 game=1-(Katelyn wins none of the games)

Statement 1:The probability that either James or Austin wins the game is 3/4.
this means this is the probability of Katelyn loosing a game.
This means we can calculate the required prob.
Sufficient

Statement 2: James and Katelyn have an equal probability of winning the game.
But we dont have the numerical value of their winning the game.
Insufficient.

Answer: A

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