Suppose that a certain college class contains 46 students. Of these, 19 are seniors, 30 are mathematics majors, and 11 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a senior and a mathematics major? (b) Given that the student selected is a senior, what is the probability that she is also a mathematics major? Write your responses as fractions. (If necessary, consult a list of formulas.)
Suppose that a certain college class contains 46 students. Of these, 19 are seniors, 30 are mathematics majors, and 11 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a senior and a mathematics major? (b) Given that the student selected is a senior, what is the probability that she is also a mathematics major? Write your responses as fractions. (If necessary, consult a list of formulas.)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.6: Permutations
Problem 31E
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Question
![Suppose that a certain college class contains 46 students. Of these, 19 are seniors, 30 are mathematics majors, and 11 are neither. A student is selected at
random from the class.
(a) What is the probability that the student is both a senior and a mathematics major?
(b) Given that the student selected is a senior, what is the probability that she is also a mathematics major?
Write your responses as fractions. (If necessary, consult a list of formulas.)
(b)
pla
X
80](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70ae18fa-4616-48a0-8ab9-3642194406c1%2Ff8accdd1-1b81-4d28-9fb9-c5267c58d3c1%2Fa02zjqb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that a certain college class contains 46 students. Of these, 19 are seniors, 30 are mathematics majors, and 11 are neither. A student is selected at
random from the class.
(a) What is the probability that the student is both a senior and a mathematics major?
(b) Given that the student selected is a senior, what is the probability that she is also a mathematics major?
Write your responses as fractions. (If necessary, consult a list of formulas.)
(b)
pla
X
80
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