2. An urn contains 4 red balls, 3 blue balls, 2 green balls and one black ball. (a) If two balls are selected with replacement. What is the probability that the first ball is red and the second ball is blue? (b) If two balls are selected with replacement. What is the probability that we get one red ball and one blue ball (in any order)? (e) If three balls are selected with replacement. What is the probability that all three balls are red? (d) If five balls are selected with replacement. What is the probability that we get three red balls and two blue balls (in any order)?

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Chapter1: Combinatorial Analysis
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Can you answer question 2-C-D only ?? Thank you

Math 1680 Elementary Probability and Statistics
Exercise Set 5
Name:
1. An urn contains 4 red balls, 3 blue balls, 2 green balls and one black ball.
(a) If two balls are selected without replacement. What is the probability that the first ball
is red and the second ball is blue?
(b) If two balls are selected without replacement. What is the probability that we get one
red ball and one blue ball (in any order)?
(c) If three balls are selected without replacement. What is the probability that all three
balls are red?
(d) If five balls are selected without replacement. What is the probability that we get three
red balls and two blue balls (in any order)?
2. An urn contains 4 red balls, 3 blue balls, 2 green balls and one black ball.
(a) If two balls are selected with replacement. What is the probability that the first ball is
red and the second ball is blue?
(b) If two balls are selected with replacement. What is the probability that we get one red
ball and one blue ball (in any order)?
(c) If three balls are selected with replacement. What is the probability that all three balls
are red?
(d) If five balls are selected with replacement. What is the probability that we get three
red balls and two blue balls (in any order)?
Transcribed Image Text:Math 1680 Elementary Probability and Statistics Exercise Set 5 Name: 1. An urn contains 4 red balls, 3 blue balls, 2 green balls and one black ball. (a) If two balls are selected without replacement. What is the probability that the first ball is red and the second ball is blue? (b) If two balls are selected without replacement. What is the probability that we get one red ball and one blue ball (in any order)? (c) If three balls are selected without replacement. What is the probability that all three balls are red? (d) If five balls are selected without replacement. What is the probability that we get three red balls and two blue balls (in any order)? 2. An urn contains 4 red balls, 3 blue balls, 2 green balls and one black ball. (a) If two balls are selected with replacement. What is the probability that the first ball is red and the second ball is blue? (b) If two balls are selected with replacement. What is the probability that we get one red ball and one blue ball (in any order)? (c) If three balls are selected with replacement. What is the probability that all three balls are red? (d) If five balls are selected with replacement. What is the probability that we get three red balls and two blue balls (in any order)?
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