Suppose you have three bowls, XX, YY, and ZZ, each with four balls with XX having 3 red and 1 blue, YY having 2 red and 2 blue, and ZZ having 1 red and 3 blue. A bowl is chosen at random and a ball is drawn from it. What is the probability that the ball was drawn from bowl XX given the ball was blue?

A pet store has 12 puppies, including 4 poodles, 4 terriers, and 4 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random without replacement, find the probability that Aaron selects a retriever, given that Rebecka selects a poodle. The probability is (Type an integer or a fraction.)

Lily has four cards 1,2,4,4Vivian has two cards 10,20What is the probability that if one card is selected from each person, that the sum of their cards is equal to 14

We have two boxes, box A (6 blue marbles and 8 red marbles) and box B (6 blue marbles and 2 red marbles). We randomly pick one box, and randomly pick a marble from it. If the marble we picked was red, what is the probability that we drew from the first box?

You are the teacher of two math classes of 20 and 25 students respectively. To get into a university program, the students need a 75% in the class. Suppose each student has a 0.7 probability of getting atleast a 75% in the class. Let X1 be the number of students in the class of 20 who receive atleast a 75%. Let X2 be the number of students in the class of 25 who receive atleast a 75%. a. Do X1 and X2 fit the binomial setting? Are there any issues? For the rest of the question, assume both X1 and X2 can be modeled by a binomial distri- bution. b. What is the probability that exactly 15 students in the class of 20 get into the pro- gram? Do not use Table C. c. What is the probability that atleast 22 students in the class of 25 get into the pro- gram? Do not use Table C. d. Using Table C, what is the probability that atleast 17 students in the class of 20 get into the program? е. Let X be the number of students in both classes that get into the program. Deter- mine the mean and standard…

Urn 1 contains 4 red and 6 white balls. Urn 2 contains 3 red and 6white balls. A ball is drawn from urn 1 and placed in urn 2. Then a ball is drawn from urn 2.     If the ball drawn from urn 2 is​ red, what is the probability that the ball drawn from urn 1 was​ red?

Suppose that there is a white urn containing two white balls and three red balls and there is a red urn containing one white ball and two red balls. An experiment consists of selecting at random a ball from the white urn and then​ (without replacing the first​ ball) selecting at random a ball from the urn having the color of the first ball. Find the probability that the second ball is red. The probability of the second ball being red is?