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1. Suppose that a number is to be selected from the real line S, and let A, B and C be the events represented by the following subsets of S: A = {r: 1 ≤ x ≤ 5}, B = {x:3

1. Suppose that a number is to be selected from the real line S, and let A, B and C be the events represented by the following subsets of S: A = {r: 1 ≤ x ≤ 5}, B = {x:3

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 40E
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1. Suppose that a number is to be selected from the real line S, and let A, B and C be the events represented by the following subsets of S: A = {x: 1 ≤ x ≤ 5}, B = {x:3<r<8}, C = {x:x≤ 0} Describe each of the following events as a set of real numbers: (a) A' (b) Bnc (c) A'n B'nc (d) (AUB) NC 2. One ball is to be selected from a box containing red, white, blue, yellow, and green balls. If the probability that the selected ball will be red is 1/5 and the probability that it will be white is 2/5, what is the probability that is will be blue, yellow, or green? 3. Consider two events A and B such that P(A) = 1/3 and P(B) = 1/2. Determine the value of P(BnA') for each of the following conditions: (a) A and B are disjoint (b) ACB (c) P(An B) = 1/8. 4. If three dice are rolled, what is the probability that each of the three numbers that appear will be different?
Transcribed Image Text:1. Suppose that a number is to be selected from the real line S, and let A, B and C be the events represented by the following subsets of S: A = {x: 1 ≤ x ≤ 5}, B = {x:3<r<8}, C = {x:x≤ 0} Describe each of the following events as a set of real numbers: (a) A' (b) Bnc (c) A'n B'nc (d) (AUB) NC 2. One ball is to be selected from a box containing red, white, blue, yellow, and green balls. If the probability that the selected ball will be red is 1/5 and the probability that it will be white is 2/5, what is the probability that is will be blue, yellow, or green? 3. Consider two events A and B such that P(A) = 1/3 and P(B) = 1/2. Determine the value of P(BnA') for each of the following conditions: (a) A and B are disjoint (b) ACB (c) P(An B) = 1/8. 4. If three dice are rolled, what is the probability that each of the three numbers that appear will be different?
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