A box is divided into 9 equal sized compartments. A ball thrown in the box is equally likely to go into any one of these compartments. If 9 balls are thrown, calculate the probability for a particular compartments to contain (1) one particular ball only (ii) all the nine balls (iii) one of the balls.

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: Suppose a jar contains 9 red marbles and 18 blue marbles. If you reach in the jar and pull out 2…

A: From the provided information, A jar contains 9 red marbles and 18 blue marbles. Total marbles = 9 +…

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: Assume that you select 2 coins at random from 8 coins: 3 dimes and 5 quarters. What is the…

A:

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: What is the probability that the three balls drawn are the same color

A: we are given that there are 5 black and 7 green balls balls are drawn thrice and the drawn balls are…

Q: In a class with 50 students, 25 students constantly have their lunch in the cafeteria and 10…

A: Consider A denotes having lunch in the cafeteria and B denotes having lunch in the canteen.

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: The probability of being dealt a hand containing 3 spades, 4 hearts, 2 diamonds, and 2 clubs is.…

A: Here use hypergeometric distribution

Q: A class contains 10 males and 20 females of which half the males and half the females are…

A: We will create a contingency table first. There are 10 males and 20 females (total 30) of which 5…

Q: Suppose a jar contains 13 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

A: Given problem Given that   Suppose a jar contains 13 red marbles and 35 blue marbles. If you reach…

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 8 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

A: Probability: The ratio of the number of favorable outcomes to certain event and total number of…

Q: Suppose a jar contains 15 red marbles and 27 blue marbles. If you reach in the jar and pull out 2…

A: 15 red marbles27 blue marblesThe total number of marbles in the jar is 15 + 27 = 42

Q: uppose a jar contains 12 red marbles and 36 blue marbles. If you reach in the jar and pull out 2…

A: Solution: Given information: Red marbles = 12 Blue marbles = 36 Total marbles = 12+36 Total marbles…

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: 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: Suppose a jar contains 13 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

A:

Q: Suppose a jar contains 20 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

A: Givena jar containsNo.of red marbles=20No.of blue marbles=35Total no.of marbles=55

Q: A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble…

A: Given that,  4 green, 5 blue, 1 yellow, and 2 orange Marbles.  Total number of marbles = 4+5+1+2 =…

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: A bag contains 7 green and 5 black balls. Three balls are drawn one after the other. The probability…

A: 7-green  balls5-black balls 12- total balls three balls are drawn one after the other we have to…

Q: A physics class has 50 students. Of​ these,17 students are physics majors and 13 students are…

A: From given data, P(Physics majors)=17/50 P(Female)=13/50 P(Physics majors and Female)=4/50 P(Physics…

Q: In a family of 4 Children, the probability of a male birth is 0.5. Find the probability that the…

A: Sample of size(n)=4p=Probability of a male birth=0.5q=1-pq=1-0.5=0.5

Q: A board is made up of 16 squares. Each square can only fit one coin. The four squares in the center…

A: There are 16 squares on the board. Among them 4 are grey. That means (16-4)=12 are white.So the…

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.