An urn contains 5 red and 7 blue balls. Suppose that 2 balls are selected at random and with replacement. Let A and B be the events that the first and the second balls re red respectively. a)Is event A and event B independent? Show your reasoning.  b)If we do the same experiment without replacement, is event A and event B independent? Show your reasoning.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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An urn contains 5 red and 7 blue balls. Suppose that 2 balls are selected at random and with replacement. Let A and B be the events that the first and the second balls re red respectively.

a)Is event A and event B independent? Show your reasoning. 

b)If we do the same experiment without replacement, is event A and event B independent? Show your reasoning.

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