# Intersection and Conditional ProbabilitySuppose that a certain college class contains 45 students. Of these, 20 are freshmen, 29 are economics majors, and 9 are neither. A student is selected at random from the class.### Questions:**(a)** What is the probability that the student is both a freshman and an economics major?**(b)** Given that the student selected is a freshman, what is the probability that he is also an economics major?Write your responses as fractions. (If necessary, consult a [list of formulas](#).)**Inputs for Answers:**- For question (a), enter your answer in the first input box.- For question (b), enter your answer in the second input box.There is a graphical interface with buttons for entering and resetting your answers.

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Answered: Suppose that a certain college class…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, four green ones, three white ones, and two purple ones. She grabs seven of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She has at least one green one.
Suppose that a certain college class contains 59 students. Of these, 27 are sophomores, 34 are mathematics majors, and 5 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a sophomore and a mathematics major? (b) Given that the student selected is a mathematics major, what is the probability that she is also a sophomore? Write your responses as fractions. (If necessary, consult a list of formulas.) (a)0 (b) 0 Continue 3 ala X $ S % 5 6 7 Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center F 8 Submit Assignment 1 Accessibility
Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, four green ones, fivewhite ones, and three purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She has all the red ones.
Suppose that we have a deck of 30 cards. Both sides of the first 10 cards are colored red, both sides of the next 10 cards are colored black, and on the last 10 cards, one side is colored red and the other side black. The 30 cards are shuffled, and the top side of the top card is revealed. If that top side is colored red, what is the probability that the other side of that card is colored black? use formula P( A|B) = P(A and B) / P(B).
Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, four green ones, twowhite ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She has all the red ones.
Suppose that a certain college class contains 59 students. Of these, 35 are seniors, 36 are psychology 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 senior and a psychology major? (b) Given that the student selected is a senior, what is the probability that he is also a psychology major? Write your responses as fractions. (If necessary, consult a list of formulas.) a b
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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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