A combo meal at Bayes' Burgers comes with fries, a burger, and a soda. The fries can be small, medium, or large, and the soda can be diet or regular. A fry cook makes the observation that 80% of the customers who choose the small fry in their combo choose a regular soda. While 60% of the customers who choose a large fry in their combo choose a diet soda. And 99% of customers who chąose the medium fry in their combo choose the regular soda. Assume 25% of customers choose a small fry in their combo, and 35% choose the large fry. If a customer chose the diet soda, what is the probability they chose the small fry?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A combo meal at Bayes' Burgers comes with fries, a burger, and a soda. The fries can be
small, medium, or large, and the soda can be diet or regular. A fry cook makes the observation that
80% of the customers who choose the small fry in their combo choose a regular soda. While 60% of
the customers who choose a large fry in their combo choose a diet soda. And 99% of customers who
chąose the medium fry in their combo choose the regular soda. Assume 25% of customers choose a
small fry in their combo, and 35% choose the large fry.
If a customer chose the diet soda, what is the probability they chose the small fry?
Transcribed Image Text:A combo meal at Bayes' Burgers comes with fries, a burger, and a soda. The fries can be small, medium, or large, and the soda can be diet or regular. A fry cook makes the observation that 80% of the customers who choose the small fry in their combo choose a regular soda. While 60% of the customers who choose a large fry in their combo choose a diet soda. And 99% of customers who chąose the medium fry in their combo choose the regular soda. Assume 25% of customers choose a small fry in their combo, and 35% choose the large fry. If a customer chose the diet soda, what is the probability they chose the small fry?
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