||| O PROBABILITY Intersection and conditional probability Suppose that a certain college class contains 63 students. Of these, 35 are juniors, 31 are business majors, and 8 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a junior and a business major? (b) Given that the student selected is a junior, what is the probability that he is also a business major? Write your responses as fractions. (If necessary, consult a list of formulas.) (a) (b) O 3/5 X Españ ? G H M

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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**Intersection and Conditional Probability**

Suppose that a certain college class contains 63 students. Of these, 35 are juniors, 31 are business majors, and 8 are neither. A student is selected at random from the class.

(a) What is the probability that the student is both a junior and a business major?

(b) Given that the student selected is a junior, what is the probability that he is also a business major?

Write your responses as fractions. (If necessary, consult a list of formulas.)
Transcribed Image Text:**Intersection and Conditional Probability** Suppose that a certain college class contains 63 students. Of these, 35 are juniors, 31 are business majors, and 8 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a junior and a business major? (b) Given that the student selected is a junior, what is the probability that he is also a business major? Write your responses as fractions. (If necessary, consult a list of formulas.)
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