Two candy bowls contain red and green candies. The first bowl contains an even mix of red and green candies, while the second bowl contains 70% red and 30% green candies. A bowl is chosen, and a candy from that bowl is randomly selected. Suppose that whenever a red candy is chosen, it came from the first bowl 62.5% of the time. What is the probability that the first bowl is chosen? C..... The probability is . Type an integer or decimal rounded to three decimal places as needed.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Two candy bowls contain red and green candies. The first bowl contains an even mix of red and green candies, while the second bowl contains 70% red and 30%
green candies. A bowl is chosen, and a candy from that bowl is randomly selected. Suppose that whenever a red candy is chosen, it came from the first bowl 62.5%
of the time. What is the probability that the first bowl is chosen?
The probability is
(Type an integer or decimal rounded to three decimal places as needed.)
Transcribed Image Text:Two candy bowls contain red and green candies. The first bowl contains an even mix of red and green candies, while the second bowl contains 70% red and 30% green candies. A bowl is chosen, and a candy from that bowl is randomly selected. Suppose that whenever a red candy is chosen, it came from the first bowl 62.5% of the time. What is the probability that the first bowl is chosen? The probability is (Type an integer or decimal rounded to three decimal places as needed.)
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