Concept explainers
(a)
To Find: The probability that a student is a member of a club given that he is male.
(a)
Answer to Problem 11PPS
The required probability is 0.390.
Explanation of Solution
Given:
Total number of persons,
Total number of male,
Total number of female,
So the probability that person is a male,
The probability that person is a female,
Out of these 818 persons, 156 are male and is a member of club so
So the probability that a student is a member of a club given that he is male is,
Hence, required probability is 0.390.
(b)
To Find: The probability that a student is not member of a club given that she is female.
(b)
Answer to Problem 11PPS
The required probability is 0.2571.
Explanation of Solution
Out of these 818 persons, 108 are female and not a member of club so
So the probability that a student is not a member of a club given that she is female is,
Hence, required probability is 0.2571.
(c)
To Find: The probability that a student is male and not member of a club.
(c)
Answer to Problem 11PPS
The required probability is 0.6914.
Explanation of Solution
Out of these 818 persons, 242 are not a member of club and male so
Out of these 818 persons, 350 are not a member of club so
So the probability that student is male, given that he is not a member of a club is,
Hence, required probability is 0.6914.
Chapter 12 Solutions
Algebra 2
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