An urn contains 5 green, 1 red, and 2 blue balls. Two balls are taken from the urn, one after the other and without replacement. Find the conditional probability that the first ball selected was blue given that the second ball selected was not blue.

An urn contains 5 green, 1 red, and 2 blue balls. Two balls are taken from the urn, one after the other and without replacement. Find the conditional probability that the first ball selected was blue given that the second ball selected was not blue.

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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Question

An urn contains 5 green, 1 red, and 2 blue balls. Two balls are taken from the urn, one after the other and without replacement.

Find the conditional probability that the first ball selected was blue given that the second ball selected was not blue.

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Step 2: Compute the conditional probability, P(1st selected blue ball| 2nd ball was not blue):

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