A box contains 4 white balls, 8 red balls, and 9 blue balls. If 3 balls are selected at random, find the probability that (a) one ball of each color is selected. (b) all balls are of the same color. (c) one red and two of any other color are selected

Q: A sweety jar contains 15 jelly babies, of which 8 are red and the rest are Green. Suppose you…

A: Let A be the event of getting  GREEN jelly babies and B be the event of getting RED jelly babies. By…

Q: A committee of 8 is formed from a group of 15 women and 20 men. Determine the probability that the…

A: Given data No of women = 15 No of men = 20 Total Person = 20 + 15 = 35 A committee of 8 is formed…

Q: A box contains 3 white balls and 5 black balls, and all the balls are the same on all sides except…

A: Given that - A box contains 3 white balls and 5 black balls, and all the balls are the same on all…

Q: A box has 34 orange hats and 13 yellow hats. If you pick 3 hats without replacemen

A: Given Data population size, N = 34+13 = 43 number of successes, m = 34 sample…

Q: A box contains 4 black marbles, 3 red marbles, and 2 white marbles. What is the probability that a…

A:

Q: A class has 12 boys and 4 girls. If three students are selected at random from the class, what is…

A: Given data, Number of boys in a class =12 Number of girls in a class =4 Total number of students…

Q: A box contains 2 red balls, 4 white balls and 6 blue balls. If a ball is drawn at random from the…

A:

Q: In a college, there are 25 students who enrolled for commerce only, 105 students enrolled for…

A: Given: Number of Students enrolled for commerce, n(C) = 25           Number of Students enrolled for…

Q: A physics class has 50 students. Of​ these, 14 students are physics majors and 17 students are…

A: It is given that the, A physics class has 50 students. Of​ these, 14 students are physics majors and…

Q: From a box containing six black plates, eight white plates and ten blue plates, one plate is drawn…

A: Solution

Q: What is the probability that at least four of the next 5 cars get a green light

A: It is given that  Green light = 40 seconds Red light = 15 seconds Yellow light = 5 seconds

Q: A physics class has 50 students. Of​ these, 13 students are physics majors and 18 students are…

A: It is given that the number of students in physics class is 50. Among that the physics majors are 18…

Q: A physics class has 50 students. Of​ these, 16 students are physics majors and 12 students are…

A:

Q: A box contains 6 white balls and 4 black balls. If 2 balls are drawn in succession. What is the…

A:

Q: A pet store has 11 ​puppies, including 3 ​poodles, 3 ​terriers, and 5 retrievers. If Rebecka…

A: Given Information :  A pet store has 11 ​puppies, including 3 poodles 3 terriers, and 5 retrievers.…

Q: A box contains 25 balls, 15 green and 10 red balls. Two balls are picked up, what is the probability…

A: Solution: From the given information a box contains 15 green and 10 red balls. Here, two balls are…

Q: A physics class has 50 students. Of​ these, 13 students are physics majors and 15 students are…

A: Given that, Total number of students = 50Number of physics major students = 13Number of female…

Q: The mathematics department of a college has 14 male professors, 15 female professors, 9 male…

A:

Q: In a box, there are 3 fair coins, 2 special coins with heads on both sides and 5 special coins with…

A: In a box, there are 3 fair coins, 2 special coins with heads on both sides and 5 special coinswith…

Q: A company has 140 employees of which 30 are supervisors. Eighty of the employees are married and 20…

A: Given data, P(Married)= 80/140 = 0.5714 P(Supervisor | Married)= 0.20 P(Married and supervisor)=?

Q: A physics class has 50 students. Of​ these, 10 students are physics majors and 15 students are…

A:

Q: In a lot of 20 batteries, 4 are defective. If 2 are chosen, determine the probability that both are…

A: Number of defective batteries=X= 4 Number of batteries in a lot=n=20 Number of non defective…

Q: A company has 5 stores in New York and 6 stores in Chicago. Three of the stores are randomly…

A: We have given that 5 stores in New York and 6 stores in Chicago.   We know that, Combination…

Q: A bag contains 6 nickels, 2 dimes, and 3 quarters. If you draw 3 coins at random from the bag,…

A: The total number of the coin is = 6 + 2 + 3 = 11

Q: a. A bag contains 7 white marbles, 6 black marbles, and 5 red marbles. If a marble is drawn from the…

A: As per our guidelines, we are allowed to answer one question per query. Please ask b question…

Q: A jar contains 5 orange, 4 white, and 3 red marbles. Two marbles are drawn without replacement from…

A: Solution

Q: A bag contains 20 marbles, of which 3 are blue and 7 are green. One marble is drawn from the bag.…

A: Given Total number of marble=20 Number of blue marble=3

Q: A bag contains 4 balls, and 5 red balls. One ball is drawn from the bag. What is the probability…

A: Total blue balls= 4 Red balls= 5 Total Balls= 4+5 = 9 Probability of selecting Blue ball, P(B)= 4/9…

Q: Suppose you have 3 nickels and 4 dimes in your right pocket and 2 nickels and a quarter in your left…

A: Consider the following, E=right pocket  is chosenF=left pocket is chosenN=selected coin is nickel…

Q: A jar holds 20 cookies, 15 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A: We have to find given probability.

Q: A pet store has 14 puppies, including 5 poodles, 4 terriers, and 5 retrievers. If Rebecka and Aaron,…

A:

Q: A team of 5 men and 4 women is to be chosen at random from a group of 8 male and 7 female…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: A box has 20 green hats and 15 blue hats. If you pick 3 hats without replacement, what is the…

A: Given,no.of green hats=20no.of blue hats=15total no.of hats=35

Q: A bowl contains 12 red balls and 8 white balls. If two balls are selected randomly then what is the…

A: GivenA bowl containsNo.of red balls = 12No.of white balls =8Total no. of balls = 20

Q: In a box there are 2 white, 3 black, and 4 red balls. If a ball is drawn at random, what is the…

A: Given: Number of white balls, n(w)=2. Number of black balls, n(b)=3. Number of red balls, n(r)=4.…

Q: A card is drawn at random from a set of cards containing two decks. What is the probability that the…

A: Solution: A deck contains 52 cards. It has 4 suits. Each suit contains 13 cards. There are 26 red…

Q: If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

A: From the provided information, Total books in a shelf = 5 + 3 + 1 = 9 If three books are picked at…

Q: A box contains 2 white and 3 blue identical balls. If two balls are picked at random one after the…

A: A box contains 2 white and 3 blue identical balls Total = 5 If the balls are drawn without…

Q: The mathematics department of a college has 8 male professors, 11 female professors, 14 male…

A: Given: The mathematics department of a college has,             Male professors: 8            Female…

Q: A snack tray is arranged with 6 cups of apple slices in the first row, 8 cups of orange slices in…

A: Introduction: Suppose an experiment consists of n total number of possible outcomes, out of which, n…

Q: A Psychology class consists of 14 males and 36 females. If a random sample of n =3 students are…

A: Given that there are 14 males and 36 females. Given that n=3.

Q: 8. In a college graduating class of 100 students, 54 studied mathematics, 69 studied history, and 35…

A:

Q: A high school class consists of 6 seniors, 10 juniors, 11 sophomores, and 5 freshmen. Exactly 2 of…

A: From the given problem, we have:6 seniors, 10 juniors, 11 sophomores, and 5 freshmenTotal number of…

Q: A bag contains 7 red marbles, 2 blue marbles, and 1 green marble. If a marble is selected at random,…

A: There are total (7+2+1)=10 marbles  Given that there are 2 blue marbles So the number of marbles…

Q: The mathematics department of a college has 6 male​ professors, 11 female​ professors, 10 male…

A: According to the given information, we have   Professors Teaching assistants Total Male 6 10 16…

Q: A student has a total of 10 books and 3 of her books are science fiction. If she arranges them on a…

A: Given, A student has a total of 10 books and 3 of her books are science fiction she arranges them on…

Q: A box contains 6 defective bulbs and 10 functional bulbs. If 4 bulbs are to be chosen at random what…

A: Given ,           no. of defective bulbs = 6           no. of functional bulbs = 10         Total no…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.