4. In a high school graduating class of 100 students, 54 studied mathematics, 68 studied history, and 36studied both mathematics and history. If one of these students is selected at random, find theprobability that(a) The student took mathematics or history;(b) The student did not take either of these subjects;(c) The student took history but not mathematics.5. In how many ways can 3 oaks, 4 pines, and 2 maples be arranged along a property line if one does notdistinguish among trees of the same kind?

As per our guidelines we are suppose to do only one question4.GivenTotal no.of students in a class…

Answered: 4. In a high school graduating class of…

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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2. A large population of crickets contains 30% who can chirp. Suppose 4 crickets are selected at random from this population, find the probability that (a) all can chirp, (b) at least one can chirp, and (c) exactly 2 can chirp.
30. The chess clubs of two schools consists of, respectively, 8 and 9 players. four members from each club are randomly chosen to participate in a contest between the two schools. The chosen players from one team are then randomly paired with those from the other team, and each pairing plays a game of chess. Suppose that Rebecca and her sister Elise are on the chess clubs at different schools. What is the probability that exactly one of Rebecca and Elise will be chosen to represent her school? Show the STEP-BY-STEP SOLUTION CLEARLY. SHOW EXPLAMATIONS IF NECESSARY.
1. A city has 9 coffee shops: 3 Starbuck's, 2 Caribou Coffees, and 4 Crazy Mocho Coffees. If a person selects one shop at random to buy a cup of coffee, find the probability that it is either a Starbuck's or Crazy Mocho Coffees.
A. Suppose you close your eyes and randomly select one M&M from your pile, find the probability of grabbing a color that contains the letter “r”or a color that contains the letter “o”. B. Suppose you close your eyes and randomly select one M&M from your pile, replace that M&M, and select another M&M from the pile. What is the probability that you will select an orange and a yellow M&M? C. Suppose you close your eyes and randomly select two M&M’s from your pile, without replacing the first M&M. What is the probability that you will select a red and a blue M&M?
8. The composition of the 108th Congress is 50 Republicans, 48 Democrats, and 2 Independent. A committee on aid to higher education is to be formed with 3 Senators to be chosen at random to head the committee. Find the probability that the group of 3 consists of a. All Democrats b. One Democrat, one Republican, and one Independent
a. An urn contains 3 red, 4 white and 5 blue discs. Two discs are selected at random from the urn, one by one without replacement. Find the probability that both discs are different colors.
3. If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three students randomly selected for a group are all freshmen?
3. Two fair dice are rolled twice. What is the probability of obtaining a sum of 5 on the first roll and a sum of 8 on the second roll? 4. There are 11 green marbles, 5 blue marbles, and 6 red marbles in a jar. 3 marbles will be drawn in succession without replacement. What is the probability that the marbles drawn are a red marble, green marble and a blue marble?
There are six movies and three books that Caleb wants to watch or read over his summer vacation. a. How many ways can Caleb choose 3 movies and 2 books from his list? b. Caleb randomly orders his chosen books and movies to read/watch each from start to finish, one at a time. What is the probability that he chooses an order that starts and ends with a movie? what is question b
In a town of 800 citizens, two languages are spoken: Italian and and French. 400 citizens speak at least one language. 240 speak Italian and 320 speak French. One citizen is selected at random. If one citizen speaks Italian, what is the probability the same citizen speaks French?

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