A box contains 3 white balls, 8 red balls, and 7 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: 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: There are 7 black and 5 green balls in a box. Three balls are drawn consecutively (each ball is…

A: Given There are 7 black and 5 green balls in a box. The total balls in a box is 7+5=12. To find the…

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: A bag contains 3 white, 4 black and 5 red balls. Three balls are dra random one after another…

A:

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: 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: 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: 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: 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: There are 3 boxes. 1st box contains 2 white and 1 black, 2nd – 4 white and 1 black, 3rd – 2 white…

A: E1: Box 1 P(E1) = 1/3 E2: Box 2 P(E2) = 1/3 E3: Box 3 P(E3) = 1/3 A: The ball is white P(A|E1) = 2/3…

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: 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: Find the probability that both balls are of the same color.

A: Given, Red balls = 5 White balls = 6 Black balls = 9 Total balls = 20

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: There are 3 boxes. 1st box contains 2 white and 1 black, 2nd – 3 white and 1 black, 3rd – box 2…

A: The tree diagram corresponding to the distribution is shown below.

Q: What is the probability that the two balls taken out at random from the box are one white ball and…

A: It is given that  White balls = 3 Red balls = 3 Total balls = 6

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 box1 contains 3 white, 2 red balls. A box2 contains 2 white and 4 red balls. Two balls at random…

A:

Q: A bag of multicolored balls contains 3 yellow, 4 blue, 1 black and 5 pink balls. If 3 balls are…

A: A bag of multicolored balls contains 3 yellow (3Y) 4 blue (4B) 1 black and  5 pink balls (5P) Total…

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.