11. There are 500 students in ABC school. 150 students are enrolled in an Algebra course and 80 students are enrolled in a Chemistry course. There are 30 students who are taking both Algebra and Chemistry courses. If a student is chosen at random: a) What is the probability that the student is taking Chemistry given that the student is also taking Algebra? b) What is the probability that the student is taking Algebra given that the student is also taking Chemistry.

Q: 1) Out of 55 students, 24 are taking Physics and 21 are taking Chemistry and 12 students are in both…

A: We have to find given probability.

Q: Bonami High School has 82 juniors at its school. There are 29 students enrolled in Spanish class and…

A: Total students in school is 82 number of students enrolled in spanish class is, n(S) = 29number of…

Q: There are 3 Chevrolets and 4 Fords in the company motor pool. Two cars are selected at random and…

A: No. of Chevrolets in the company motorpool = 3No. of Fords in the company motorpool = 4Total no. of…

Q: A bag contains 10 red balls, 5 blue balls, and 3 green balls. A ball is drawn at random, and then…

A:

Q: There are 5 people from Arizona (A), 7 people from California (C), and 3 people from Nevada (N)…

A: Here,the total number of participants are 5+7+3=15.The number of ways in which three different…

Q: 4. Among the contestants in a competition are 42 women and 28 men. If 4 winners are randomly…

A:

Q: John takes 2 coins at random from 4 quarters, 5 dimes, and 3 nickels in his pocket. A) what is the…

A: There are totally 12 coins in John pocket out of which 4 quarters, 5 dimes, and 3 nickels.

Q: There are a total of 23 people in an application pool, that are equally qualified for a job. The…

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: 6). The staff at a small company includes: engineers, and 2 executives. If a person is will be a…

A:

Q: 6. A drawer contains 6 black, 4 red and 2 white socks. If two socks are randomly selected without…

A: Given,no.of black socks=6no.of red socks=4no.of white socks=2Total no.of socks=12

Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probability that…

A: Given that class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors. Total = 8+5+4+2 = 19

Q: What is the probability that a student chosen randomly from the class does not have an A?

A: The given information can be described as   Male Female Total A 3 12 15 Not A 2 4 6   5 16…

Q: 2. Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario…

A: Given Dario puts 44 marbles in a box in which 14 are red, 12 are blue, 18 are yellow.

Q: There are a total of 26 people in an application pool, that are equally qualified for a job. The…

A: Since you have posted the question with multiple sub-parts we will only the first 3 sub-parts for…

Q: Between 3 players (A,B, & C) 5 orange, 5 yellow, and 5 purple balls are divided randomly in a way…

A: In given information it is clear that, there are totally 15 balls (5 orange, 5 yellow and 5 purple )…

Q: There are a total of 23 people in an application pool, that are equally qualified for a job. The…

A:

Q: A student owns 15 pencils, 9 are mechanical pencils and 6 are wooden pencils. They pull a pencil out…

A: Given that Total number of pencil = 15 Mechanical pencil = 9 Wooden pencil = 6 We have to calculate…

Q: Suppose you shuffle a standard deck of cards (with 52 cards), and then divide it into 2 stacks. Then…

A: Probability             Probability is deals with the random occurrence of events is…

Q: From a bag that contains 12 white balls, 18 red balls, and 10 green balls, one ball is drawn at…

A: Given problem Given that   From a bag that contains 12 white balls, 18 red balls, and 10 green…

Q: en books consisting of 5 mathematics books, 3 physics books, and 2 chemistry books are placed in a…

A: Given: Total books (n)=10number of mathematic books (m)= 5number of physics books (P)= 3number of…

Q: .If a deck of cards consists of 52 cards, comprising 4 suits of 13 cards, and one card is drawn at…

A: in 52 cars deck 26 cards are black 26 are red   out of 4 jack 2 are red and 2 are black

Q: 2) 30 people (Eva, Ali, Bertil,....) will (randomly) go to stand in a line. What is the probability…

A:

Q: The staff at a small company includes: 2 secretaries, 13 technicians, 6 engineers, 4 executives and…

A:

Q: 1. From a deck of 52 cards, 2 cards will be drawn together. Find the probability that they will…

A: We know that There are 52 card in the deck in which they divided into two color i.e red(26) and…

Q: b) A box contains 8 red, 5 white and 3 blue marbles. A sample of nine marbles is drawn with…

A:

Q: A box contains10 red and 12 white rose flowers.Flowers are picked up at random one by one without…

A: Given a box contains 10 red and 12 white rose flowers are picked up at random one by one without…

Q: In a class of 30 students, 17 are boys and the rest are girls. On a monthly math’s test, four boys…

A:

Q: here are a total of 23 people in an application pool, that are equally qualified for a job. The pool…

A: 4) Given: Number of people in California = 7 Number of people in Nevada = 6 Number of people in…

Q: There are a total of 22 people in an application pool, that are equally qualified for a job. The…

A: It is given that 22 people applied for 3 job openings. Where, People States 10…

Q: A commission of 3 people out of 5 women and 4 men working in a workplace will be formed. Which of…

A: To find the probability following rules will be used  :  Fundamental Principle of Multiplication :…

Q: 7. From a group of 14 boys and 10 girls, a committee of 3 students is chosen at random. a. What is…

A:

Q: A bag with 6 marbles is shown below(3 marbles are red, 1 is yellow, and 2 are blue) a marble is…

A:

Q: There are a total of 19 people in an application pool, that are equally qualified for a job. The…

A:

Q: The probability that an American industry is located in Shanghai, China is 0.62, the probability…

A: We have given that  P(A) = 0.62 P( B) = 0.49 P( A U B ) = 0.77

Q: An engineer had 12 red washers and 16 blue washers in his tools box. He required 6 washers to fix a…

A: The engineer had 12 red washers and 16 blue washers.