Calculate P(A), P(B), P(C), P (D) and P (E).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Part A:
Consider an urn U contains: 4 white balls and 7 red balls.
We select randomly successively three balls from the urn U and with replacement.
1. Find the number of all possible outcomes.
2. Consider the following events:
A:" Obtaining three balls have the same color"
B:" Obtaining exactly two white balls and one red ball"
C:" Obtaining exactly two red balls and one white ball"
D:" Obtaining at least one red ball"
E:" Obtaining at most one white ball"
Calculate P(A), P(B), P(C), P (D) and P (E).
Part B:
Consider another urn V contains: 6 white balls and 12 red balls.
In this part we select at random one ball from the urn U and one ball from the urn V.
1. Find the number of all possible outcomes.
2. Consider the following events:
F:" Obtaining two white balls"
Transcribed Image Text:Part A: Consider an urn U contains: 4 white balls and 7 red balls. We select randomly successively three balls from the urn U and with replacement. 1. Find the number of all possible outcomes. 2. Consider the following events: A:" Obtaining three balls have the same color" B:" Obtaining exactly two white balls and one red ball" C:" Obtaining exactly two red balls and one white ball" D:" Obtaining at least one red ball" E:" Obtaining at most one white ball" Calculate P(A), P(B), P(C), P (D) and P (E). Part B: Consider another urn V contains: 6 white balls and 12 red balls. In this part we select at random one ball from the urn U and one ball from the urn V. 1. Find the number of all possible outcomes. 2. Consider the following events: F:" Obtaining two white balls"
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