Athletic Cats | PuzzledQuant

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Easy

Probability

Three cats, Whiskers, Mittens and Socks, enter a jumping contest. Exactly one cat wins, with probabilities:

Whiskers (the most athletic) wins with probability $3/4$
Mittens wins with probability $3/16$
Socks (the least athletic) wins with probability $1/16$

You pick one of the three cats uniformly at random to cheer for. Unfortunately your chosen cat does not win. What is the probability that you had picked Whiskers? Give the exact value as a fraction.

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