Bag A contains 6 red and 7 black balls and Bag B contains 9 red and 6 black balls. One ball is transferred from Bag A to Bag B and then a ball is drawn from Bag B. The ball so drawn is found to be black in colour. Find the probability that the transferred ball was red.

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: 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: find the probability of being dealt five diamonds from a standard deck of playing cards that also…

A: We know that,Number of cards in a standard deck = 52Number of diamonds in a standard deck = 13There…

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 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: bag B contains 2 red and 5 green balls. Two balls will be drawn randomly from bag A and they will be…

A: Bag  A Red 3 Green 4   Bag  B Red 2 Green 5 Step -1: Consider all possible events…

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: 11. One box contains 3 red balls and 5 white balls, and a second box contains 2 red balls and 3…

A: Givenfirst box containsNo.of red balls = 3No.of white balls =5Total no.of balls = 8second box…

Q: 6. Another jar contains three balls numbered 2,4, and 7, if one ball is drawn from each bag, find…

A: The one jar contains four balls which is 1,3,5,6 . The second jar contains three balls which is…

Q: A contains 4 white and 6 black balls, while Bin B – 5 white and 3 black balls. A ball is picked up…

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

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: find the probability that the educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

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: An urn contains three blue balls and five green balls. Another urn contains four blue balls and five…

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: 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: Suppose a jar contains 8 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

A: From the provided information, Red marbles in a jar = 8 Blue marbles in jar = 37 Total marbles = 8 +…

Q: There are 6 male students and 17 female students in a class. If you choose 2 students at random,…

A: Solution: From the given information, there are 6 male students and 17 female students. Total number…

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.