We have two (2) bins with balls. Bin 1 contains four balls, three red and one green. Bin 2 contains six balls, two red and four blue. Alice conducts the following experiment: Alice picks one of the two bins uniformly at random. Alice picks a ball from the selected bin uniformly at random. What is the probability that she picked a red ball? The probability that Alice picked a red ball is the rational number p/q where p is

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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We have two (2) bins with balls. Bin 1 contains four balls, three red and one green. Bin 2 contains six balls, two red and four 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.

What is the probability that she picked a red ball?

The probability that Alice picked a red ball is the rational number p/q where p is

_______________ and q is ___________________
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