Suppose the ball that Alice picked is red. What is the probability that she picked from Bin 1? The probability that Alice picked from Bin 1 is the rational number p/q where p is ______________

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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We have two (2) bins with balls. Bin 1 contains ten balls, three red and seven green. Bin 2 contains five balls, two red and three blue. Alice conducts the following experiment:

  1. Alice picks one of the two bins uniformly at random.
  2. Alice picks a ball from the selected bin uniformly at random.

Suppose the ball that Alice picked is red. What is the probability that she picked from Bin 1?

The probability that Alice picked from Bin 1 is the rational number p/q where p is

______________ and q is _______________
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