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 atrandom 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)plaX80

Answered: Image /qna-images/answer/f8accdd1-1b81-4d28-9fb9-c5267c58d3c1.jpg

Answered: Suppose that a certain college class…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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).
There are 7 councilors in the Ames City council. Three of them are female. Suppose they need to select two councilors for a committee. Which expression is computing the probability that if both councilors are selected at random, both will be female? a. None of the other answers is correct. b. 2C3 / 2C7 c. 3/7 d. None of the other answers is correct. e. 3C2 / 7C2 f. 3C2 / 7C3
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.
Find the probability that when a couple has four children, at least one of them is a boy. (Assume that boys and girls are equally likely.) that at least one of the four children is a boy. The probability is (Simplify your answer. Do not round.)
At a local college, four sections of economics are taught during the day and two sections are taught at night. 65 percent of the day sections are taught by full-time faculty. 15percent of the evening sections are taught by full-time faculty. If Jane has a part-time teacher for her economics course, what is the probability that she is taking a night class? The probability that she is taking a night class is nothing. (Type an integer or a fraction.)
Show all workings - use formulas: A group consists of 10 girls and 8 boys. A team of 9 are to be selected from this group. What is the probability that the team selected will consist of 5 girlsand 4 boys, but will not include ANY of 4 specific boys?
Tom has a standard set of pool balls. If he were to draw one ball at random, what is the probability that it will be red or yellow? Give your answer in its simplest form.
Please explain.
Alejandro wants to adopt a puppy from an animal shelter. At the shelter, he finds four puppies that he likes: a male and female puppy from each of the two breeds of collie and Labrador. The puppies are each so cute that Alejandro cannot make up his mind, so he decides to pick the dog randomly. Find the probability that Alejandro chooses anything except a male collie or a male Labrador. The probability is (Type an integer or a simplified fraction.)

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