The following is a contingency table showing the number of males and females having the following favourite colours Red Blue White Total Male 25 20 10 55 Female 45 12 70 Total 70 33 Y a. What is the probability that a randomly selected person's favourite colour is Red? Answer in exact fraction, or rounded to at least 4 decimal places b. What is the probability that a randomly selected person's favourite colour is Blue and will be female? Answer in exact fraction, or rounded to at least 4 decimal places c. What is the probability that a person's favourite colour is White given that the person is male? Answer in exact fraction, or rounded to at least 4 decimal places d. What is the probability that a person will be male if the person's favourite colour is not Red? Answer in exact fraction, or rounded to at least 4 decimal places

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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The following is a contingency table showing the number of males and females having the following favourite colours
Red
Blue
White
Total
Male
25
20
10
55
Female
45
X
12
70
Total
70
33
Y
a. What is the probability that a randomly selected person's favourite colour is Red?
Answer in exact fraction, or rounded to at least 4 decimal places
b. What is the probability that a randomly selected person's favourite colour is Blue and will be female?
Answer in exact fraction, or rounded to at least 4 decimal places
c. What is the probability that a person's favourite colour is White given that the person is male?
Answer in exact fraction, or rounded to at least 4 decimal places
d. What is the probability that a person will be male if the person's favourite colour is not Red?
Answer in exact fraction, or rounded to at least 4 decimal places
Transcribed Image Text:The following is a contingency table showing the number of males and females having the following favourite colours Red Blue White Total Male 25 20 10 55 Female 45 X 12 70 Total 70 33 Y a. What is the probability that a randomly selected person's favourite colour is Red? Answer in exact fraction, or rounded to at least 4 decimal places b. What is the probability that a randomly selected person's favourite colour is Blue and will be female? Answer in exact fraction, or rounded to at least 4 decimal places c. What is the probability that a person's favourite colour is White given that the person is male? Answer in exact fraction, or rounded to at least 4 decimal places d. What is the probability that a person will be male if the person's favourite colour is not Red? Answer in exact fraction, or rounded to at least 4 decimal places
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