Assume that the committee consists of 12 Republicans and 5 Democrats. A subcommittee of 4 is randomly selected from all subcommittees of 4 which contain at least 1 Democrat. What is the probability that the new subcommittee will contain at least 2 Democrats?

Q: Suppose a jar contains 13 red marbles and 36 blue marbles. If you reach in the jar and pull out 2…

A: We have total number of marbles in the jar = 13 red marbles + 36 blue marbles = 49. We can pull out…

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 committee of 4 is selected from 7 Republicans and 7 Democrats. This committee must have at least…

A: Given: Number of Republicans = 7 Number of democrats = 7 Number committee members = 4

Q: A 4 member committee is formed from 8 teachers and 6 students. Find the probability that the…

A: Given,no.of teachers=8no.of students=6Total no.of members=14 and Cr=n!(n-r)!×r!n

Q: Suppose a jar contains 14 red marbles and 20 blue marbles. If you reach in the jar and pull out 2…

A: Given, no of red marbles=14 no of blue marbles=20 Total marbles=34 P(both are red.)=?

Q: Suppose a jar contains 18 red marbles and 21 blue marbles. If you reach in the jar and pull out 2…

A: Given,no.of red marbles=18no.of blue marbles=21Total no.of marbles=39

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: Suppose a jar contains 12 red marbles and 17 blue marbles. If you reach in the jar and pull out 2…

A: We have to find out given probabiity...

Q: If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that…

A: Total number of red marbles = 18 Total number of blue marbles = 26 Total number of marbles = 18+26 =…

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: 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: A student organization committee consisting of 7 people to be formed by selecting from a group of 26…

A: We have to find given probability.

Q: A group of 90 students is to be split at random into 3 classes of equal size. All partitions are…

A: Given : Total 90 students.

Q: Suppose a jar contains 19 red marbles and 33 blue marbles. If you reach in the jar and pull out 2…

A: Using the given information we find the probability that both marbles are red ( without replacement)

Q: Suppose a jar contains 5 red marbles and 11 blue marbles. If you reach in the jar and pull out 2…

A: Given that  The jar contains  Red marbles = 5 Blue marbles = 11 Total marbles = 5 + 11 = 16   We…

Q: Suppose a jar contains 7 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

A: number of red marbles in a jar = 7 number of blue marbles in a jar = 37 total number of marbles in a…

Q: , find the probability that neither is red.

A:

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: Suppose a jar contains 8 red marbles and 23 blue marbles. If you reach in the jar and pull out 2…

A: To find the probability that both marbles are red when two marbles are drawn at random from the jar,…

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: A committee of 4 is to be chosen at random from a group of 4 men and 3 women What is the probability…

A:

Q: Suppose a jar contains 8 red marbles and 10 blue marbles. If you reach in the jar and pull out 2…

A: A jar contains 8 red marbles and 10 blue marbles, Total number of marbles in the jar= 8+10=18

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

Q: Assume that the committee consists of 8 Republicans and 7 Democrats. A subcommittee of 6 is randomly…

A: Obtain the probability that the new subcommittee will contain at least 2 Democrats. The probability…

Q: there are 6 jobs applicants in a company, 4 are college graduate and 2 are not. If the owner selects…

A:

Q: Determine, to the nearest hundredth, the probability that Max will draw 2 non-defective chips.

A: It is given that Number of defectives = 5 Number of non-defectives = 175 - 5 = 170 Total = 175

Q: A committee of five people is to be chosen at random from a club with 13 members comprised of five…

A: Given: Total members=13            Total men=5             Total women=8To find: The probability…

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.