(a) A box contains 7 red balls, 6 white balls, and 7 black balls. Two balls are drawn at random from the box (with replacement of the first before the second is drawn). What is the probability of getting a red ball on the first draw and a white ball on the second? (Enter your probability as a fraction.) (b) Answer part (a) if the first ball is not replaced before the second is drawn. (Enter your probability as a fraction.) (c) Are the events in part (a) or in part (b) independent? Explain. Since the ball was replaced the events in part (a) are --Select--- . Not replacing the first ball ---Select--- the sample space thus the events in part (b) were ---Select--- #1

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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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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(a) A box contains 7 red balls, 6 white balls, and 7 black balls. Two balls are drawn at random from the box (with replacement of the first before the second is drawn). What is the probability of getting a red ball on the first draw and a white ball on the second?
(Enter your probability as a fraction.)
(b) Answer part (a) if the first ball is not replaced before the second is drawn. (Enter your probability as a fraction.)
(c) Are the events in part (a) or in part (b) independent? Explain.
Since the ball was replaced the events in part (a) are
--Select--- ◆ . Not replacing the first ball ---Select---
the sample space thus the events in part (b) were ---Select---
Transcribed Image Text:(a) A box contains 7 red balls, 6 white balls, and 7 black balls. Two balls are drawn at random from the box (with replacement of the first before the second is drawn). What is the probability of getting a red ball on the first draw and a white ball on the second? (Enter your probability as a fraction.) (b) Answer part (a) if the first ball is not replaced before the second is drawn. (Enter your probability as a fraction.) (c) Are the events in part (a) or in part (b) independent? Explain. Since the ball was replaced the events in part (a) are --Select--- ◆ . Not replacing the first ball ---Select--- the sample space thus the events in part (b) were ---Select---
Expert Solution
Step 1

We have given information,

A box contain 7 red balls,

6 white balls,

And 7 black balls.

The total number of balls are, 7R+6W+7B=20  balls.

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