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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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