Suppose that there are 1 red balls, 1 blue ball, and 3 white balls in an urn. A ball is drawn and its color is noted. After the ball is drawn, it is set aside and is replaced with a blue ball. Another ball is then drawn from the urn. Find the probability the first ball drawn was red given that the second ball drawn was blue.

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 an urn contains 12 balls, with 7 red and 5 black. If you randomly select 4 balls without…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

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 ball is chosen at random out of a bowl containing 3 red balls, 2 green balls, and 1 blue ball and…

A: Given Number of red balls=3 Number of green balls=2 Number of blue balls=1 N=total number of balls=6…

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: Assume that 2 cards are drawn from a standard 52-card deck. Assume the cards are drawn with…

A: 2 cards are drawn from a standard 52-card deck. Assume the cards are drawn with replacement We have…

Q: Suppose that there are 2 red balls, 1 blue ball, and 2 white balls in an urn. A ball is drawn and…

A: There are total (2+1+2)=5 balls in the urn. Let R= Red , B= Blue , W= White  Number in suffix will…

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: 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: 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: 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 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: Suppose we draw two tickets from a hat that contains tickets numbered 1, 2, 3, 4. Let X be the first…

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: If one card is drawn at random from a standard 52 card deck, find the probability that the card is…

A: It is given that the one card is drawn at random from the pack of 52 cards.

Q: A bag contains 5 red and 7 black balls. A ball is drawn at random from the bag, the colour is noted…

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: Suppose that there are 1 red ball, 1 blue ball, and 3 white balls in an urn. A ball is drawn and…

A: Given Data: Number of red balls=1 Number of blue balls=1 Number of white balls=3 Total number of…

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: There are 2 urns. The first one has 4 red balls and 6 black balls. The second has 5 red balls and 4…

A:

Q: A box contains 6 balls, 2 blue and 4 green. Two balls are drawn at random in succession without…

A:

Q: A bag contains 5 white and 4 black balls. Two balls are drawn at random one after the other without…

A: Given information: There are 5 white balls and 4 black balls Total number of balls is 5+4=9 Two…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.