suppose that a school has 10 courses offered, 3 of which are engineering major, 5 are philosophy major and 2 are management major. If a student has to choose 3 course at random, what is the probability that the student will choose one of each major?

Q: Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5 black balls. One ball is…

A: Solution

Q: Sophia and Daniel each have a bag containing all 26 letters of the alphabet. Sophia randomly takes a…

A: Given information: Number letters in each bag = 26 Let Sophia randomly takes a letter from her bag…

Q: A bag of marbles contains 9 blue, 5 green, 8 red, 6 yellow, and 2 black marbles. If you reach in the…

A: Given that a bag of marbles contains 9 blue, 5 green, 8 red, 6 yellow, and 2 black marbles. Total…

Q: A bag of marbles contains 13 red marbles, 7 yellow marbles, 9 green marbles, and 11 blue marbles.…

A: Given that: A bag of marbles contains 13 red marbles, 7 yellow marbles, 9 green marbles and 11 blue…

Q: A bag of 25 tulips contains 11 red 8 yellow and 6 purple. If I select 2 bulbs what is the…

A: The number of red tulips is 11 and the number of yellow tulips is 8 and the number of purple tulips…

Q: You have a bag of marbles containing: 2 blue, 3 green, 2 red, and 1 yellow. You will pull 3 marbles…

A: Let there are n mutually exclusive, exhaustive and equally likely outcomes of a random experiment…

Q: Suppose a jar contains a total of 72 marbles. There are 17 red marbles, 23 blue marbles and 32 black…

A: It is given that, A jar contains a total of 72 marbles out of which there are 17 red marbles, 23…

Q: A bag contains 4 black marbles, 3 yellow marbles, 5 red marbles. If one marble is drawn from the bag…

A: There are total (4+3+5)=12 marbles in the bag.  The probability of drawing a black marble in the…

Q: A bag contains 2 red marbles, 7 blue marbles and 5 green marbles. If two marbles are drawn out of…

A:

Q: Suppose we have a bowl with 10 marbles - 2 red marbles, 3 green marbles, and 5 blue marbles. We…

A:

Q: Suppose a jar contains 17 red marbles and 14 blue marbles. If you reach in the jar and pull out 2…

A: Here, a jar contains 17 red marbles and 14 blue marbles. Select 2 marbles at random.

Q: A pack contains 4 blue, 2 red and 3 black pens. If 2 pens are drawn at random from the pack, NOT…

A: Given a pack contains 4 blue, 2 Red and 3 black balls.

Q: A group of 4 men and 4 women is randomly divided into 2 different groups of size 4 each. What is the…

A: Given, Total  number of people = 4 men  + 4  women = 8 These 8 people are divided into 2 different…

Q: Box A contains 3 black and 2 red fuses, Box B contains 2 black and 4 red fuses. A box is selected at…

A: It is given that, box A contains 3 black and 2 red fuses and box B contains 2 black and 4 red fuses.

Q: If you are dealt 4 cards from the shuffle deck of 52 find the probability of getting three jacks and…

A: Obtain the probability of getting three jacks and one queen. The probability of getting three jacks…

Q: Suppose a jar contains a total of 72 marbles. There are 11 red marbles, 21 blue marbles and 40 black…

A: From the provided information, Total marbles = 72 Red marbles = 11 Blue marbles = 21 Black marbles =…

Q: Find the probability that the transferred ball was black.

A: Let us define some events A : black ball was transferred. B : red ball was transferred. E : red ball…

Q: , find the probability that neither is red.

A:

Q: Three coins are dropped on a table.

A: a) S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Q: Find the probability of the first marble being green and the second marble being yellow.

A: A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. total 11…

Q: Suppose a class has 30 students, 13 male and 17 female. What is the probability that if a teacher…

A: It is given that the class consists of 30 students of which 13 are male and 17 are female. Teacher…

Q: A bag contains 8 red marbles, 3 blue marbles and 2 green marbles. If two marbles are drawn out of…

A: Answer - A bag contains 8 red marbles, 3 blue marbles and 2 green marbles.                 Total = 8…

Q: Bag A contains 6 red and 7 black balls and Bag B contains 9 red and 6 black balls. One ball is…

A: Let us assume that E1,E2 and M are events such that, E1=Ball transferred from Bag A to Bag B is…

Q: John has three bags that each contain 500 marbles. Bag 1 has 14 red marbles, 461 green marbles, and…

A: Each of the bag contains 500 marbles.

Q: Mayank plays exactly one sport everyday. It can be football or basketball or chess. For him, the…

A: For the multinomial distribution, we have more than 2 outcome which are mutually exclusive and…

Q: One bag contains 4 white chickens and 3 red chickens, and a second bag contains 3 white chickens and…

A:

Q: We are randomly select 4 people from a group consisting of 6 politicans and 10 criminals. Find the…

A: Number of politicians = 6 Number of criminals = 10 Total number of people = 16

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.