1. Suppose that we have the following box containing twelve tickets that are numbered one, two, or three and are colored blue, green, or red. B0 B1 B2 R0 R1 R2 GO G1 G1 G2 G2 G2 www Thus, GO is a green ticket with the number zero on it and B1 is a blue ticket with a number one on it. Suppose we draw a single ticket from this box. Let G: a green ticket is drawn R: a red ticket is drawn B: a blue ticket is drawn NO: a zero is drawn N1: a one is drawn N2: a two is drawn a) Compute P(R | N2) b) Are the events G and N1 independent? (appropriate justification is required). c) Are the events G and NO independent? (appropriate justification is required).
1. Suppose that we have the following box containing twelve tickets that are numbered one, two, or three and are colored blue, green, or red. B0 B1 B2 R0 R1 R2 GO G1 G1 G2 G2 G2 www Thus, GO is a green ticket with the number zero on it and B1 is a blue ticket with a number one on it. Suppose we draw a single ticket from this box. Let G: a green ticket is drawn R: a red ticket is drawn B: a blue ticket is drawn NO: a zero is drawn N1: a one is drawn N2: a two is drawn a) Compute P(R | N2) b) Are the events G and N1 independent? (appropriate justification is required). c) Are the events G and NO independent? (appropriate justification is required).
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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Transcribed Image Text:1. Suppose that we have the following box containing twelve tickets that are numbered one, two, or three and are colored blue, green, or red.
Box representation:
- B0 B1 B2
- R0 R1 R2
- G0 G1 G1 G2 G2 G2
Thus, G0 is a green ticket with the number zero on it, and B1 is a blue ticket with the number one on it. Suppose we draw a single ticket from this box.
Definitions:
- Let G: a green ticket is drawn
- R: a red ticket is drawn
- B: a blue ticket is drawn
- N0: a zero is drawn
- N1: a one is drawn
- N2: a two is drawn
Questions:
a) Compute \( P(R \mid N2) \)
b) Are the events G and N1 independent? (appropriate justification is required).
c) Are the events G and N0 independent? (appropriate justification is required).
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