8. Suppose that colored balls are distributed in three indistinguishable boxes as follows: RED WHITE BLUE BOX 1 2 3 5 | | دارای 2 4 1 3 3 3 4 3 A box is selected at random from which a ball is drawn at random. a. Find the probability that the ball is red. b. Given that the ball is red, what is the probability that box 3 was selected?

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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8. Suppose that colored balls are distributed in three indistinguishable boxes as
follows:
RED
WHITE
BLUE
BOX
1
2
35
2
4
1
3
3
3
4
3
A box is selected at random from which a ball is drawn at random.
a. Find the probability that the ball is red.
b. Given that the ball is red, what is the probability that box 3 was selected?
Transcribed Image Text:8. Suppose that colored balls are distributed in three indistinguishable boxes as follows: RED WHITE BLUE BOX 1 2 35 2 4 1 3 3 3 4 3 A box is selected at random from which a ball is drawn at random. a. Find the probability that the ball is red. b. Given that the ball is red, what is the probability that box 3 was selected?
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