(b) Two separate bags each contain eight marbles. In the first bag the marbles are red and blue and in the second bag they are red and green. Let x be the number of red marbles in bag 1 and y be the number of red marbles in bag 2. A marble is drawn from the first bag, its colour is noted, and then a marble is drawn from the second bag and its colour is noted. The probability of drawing two red marbles is 18 and the probability of neither marble being red 64 1.0 is Determine the possible values of x and y.

Q: You have two bags. The first bag contains 4 yellow pens and 8 orange pens. The second bag contains 5…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Consider two boxes, call them box I and box II. Box I contains 5 blue and 4 red marbles, while box…

A: This probability problem is a conditional probability or known as Bayes' theorem;Let E1 be the event…

Q: Find the probabilities of getting Three 3s and then a 4 or a 5 in 4 rolls of a balanced die

A: a) since probability of a head on a fair coin is 1/2 therefore due to independence of trials P(eight…

Q: What is the Probability a couple has two children at least one of them is a boy. Assume that the…

A: Given that, The boys and girls are equally likely. P(boy) = 0.5 P(girl) = 0.5

Q: Each of the questions in this box pertains to rolling a pair of fair dice. Find the probability…

A: For each dice, there are 6 possible outcomes. So when two dice are rolled then the possible number…

Q: When 2 dice are rolled, find the probability of getting a greater number on the first die than the…

A: When 2 dice are rolled. then sample space(S) is;…

Q: One card is selected from a well – shuffled deck of 52 cards. Find the probability of get (i) a jack…

A: Total number of cards =  52 = n(S)

Q: A dice is rolled twice. What is the probability that the sum of the numbers obtained on the two…

A: GivenA dice is rolled twice

Q: One bag contains 11 red balls and 3 green balls. A second bag contains 7 red balls and 9 green…

A: Let,G1 = event that Bob selects a green ball from the first bagG2 = event that Alice selects a green…

Q: A child is allowed to have 2 treats from a bag containing 21 chocolates, 11 hard candies, and 10…

A:

Q: Suppose that 12% of the families in a certain community have no children, 22% have one, 34% have…

A: Answer:- According to the given information,  P( no children) = 12% = 0.1200  P( one children) = 22%…

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

A:

Q: This will be involving the selection of colored balls from two bags. Assume that each bag contains 5…

A: bag 1 : 4 red1 white_____________5total ballsbag2 :3 red1 white1 blue___________5 total ballsselect…

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: Dolly is randomly selecting a new duo of alpaca to pull her wagon.  There are 5 black alpaca, 7 tan…

A: Probability of an event = Number of event divided by total possible outcomes = n/s

Q: Assume that two bags contain 4 balls each. Bag A contains 1 red and 3 white, while Bag B contains 2…

A: Given data: The number of red balls in the first bag is rA=1. The number of white balls in the first…

Q: bread basket contains biscuits and muffins. There are half as many biscuits as muffins, the muffins…

A: Given: There are half Biscuits and Muffins. Three times Muffins are Blueberry than Raisin Muffins.

Q: Boy has two bags of plums. Each bag has 10 plums but: In Bag 1 there is 7 ripe and 3 raw plums In…

A:

Q: Urn X contains 3 red and 2 white balls, and bowl Y contains 4 red and 3 white balls. A ball is drawn…

A: We have to use multiplication theory of probability to find the required probability.

Q: In Alex's drawer she has 11 pairs of socks, 4 of which are white, and 15 tee shirts, 2 of which are…

A: Given, Alex's has 11 pairs of socks, 4 of which are white. Alex's has 15 tee shirts, 2 of which are…

Q: You have three bags of marbles. Bag A contains 1 red and 4 blue marbles, Bag B contains 2 red and 3…

A: here given , Three bag of marbles    Bag Red marble Blue marble Total marble A 1 4 5 B 2 3 5…

Q: An urn contains 15 balls marked LOSE and 3 balls marked WIN. Suppose that Chuck and Delilia take…

A: An urn contains 15 balls marked LOSE and 3 balls marked WIN Total = 18 Chuck makes the first…

Q: Each of the questions in this box pertains to rolling a pair of fair dice.   Find the probability…

A: For each dice, there are 6 possible outcomes. So when two dice are rolled then the possible number…

Q: Q4. There are two urns. The first urn contains 3 white and 7 black balls; the second contains 6…

A: No. of urnsIn the first urn,White ballsBlack ballsIn the second urn,White ballsBlack balls ball is…

Q: Each of the questions in this box pertains to rolling a pair of fair dice. Find the probability…

A: For each dice, there are 6 possible outcomes. So when two dice are rolled then the possible number…

Q: The sales agent Parson works in three cities A, B and C. To avoid unnecessary travel, he stays all…

A: The sales agent Person works in three cities A, B, and C. To avoid unnecessary travel, he stays all…

Q: Suppose you have three bowls, X, Y , and Z with some number of red and blue balls. Bowl X has 2 red…

A:

Q: There are 9 red eggs and 6 green eggs in a tank. Grogu reaches in and randomly eats 3 eggs. What is…

A: Number of red eggs, n(R)=9. Number of green eggs, n(G)=6. Total number of eggs, N=15. Randomly…

Q: There are two white balls in box B1, two red balls in box B2, two white and two red balls in box B3,…

A:

Q: Bag A contains 3 red and 4 black balls and Bag B contains 4 red and 5 black balls. One ball is…

A: Given data:     The given number of red balls in the bag A is: n(R1)=3 The given number of black…