Suppose that there are 2 red balls, 1 blue ball, and 2 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. Write the answer as a fraction.

Q: Express the probability that the next customer will pay with a credit card as a reduced fraction.

A: Total number of customers = (62 + 20 + 34) = 116 Number of customers used credit card = 34

Q: In a lottery game, a player picks 9 numbers from 1 to 49. If 8 of the 9 numbers match those drawn,…

A:

Q: Gabriel, Eliana, Cristina, Julian, Jordan, and Gil have all been invited to a dinner party. They…

A:

Q: Find the probability of answering the two multiple choice questions correctly if random guesses are…

A: The probability shows how likely an event occurs.

Q: After studying all night for a final exam, a bleary-eyed student randomly grabs 2 socks from a…

A: To calculate the probability of a matched pair, we need to consider the probability of selecting two…

Q: Suppose a jar contains 11 red marbles and 17 blue marbles. If you reach in the jar and pull out 2…

A: It is given that Number of red marbles = 11 Number of blue marbles = 17 Total = 28

Q: A bag contains twelve balls labeled1 through 12 . One ball will be randomly picked. What is the…

A: Given information: A bags contains 12 balls. { 1,2,3,4,5,6,7,8,9,10,11,12} Total balls in a bag = 12…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: In a lottery game, a player picks 5 numbers from 1 to 48. If 4 of the 5 numbers match those drawn,…

A: pick 5 numbers from 1 to 48. win second prize if 4 of 5 numbers matches. P(win second prize) = ?

Q: bag contains three red marbles, two blue marbles, and two green marbles. please show work and use…

A:

Q: Bags of dog food are labeled 1 through 50. What is the probability that the dog will choose a…

A: A = Multiple of 11 = { 11, 22, 33, 44} n(A) = 4 ___________ S = sample space = {1,2,3,..,50}

Q: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is…

A: Number of balls in first urn = 1 white and 5 red ballsNumber of balls in second urn = 4 white and 2…

Q: Assume that two balls are drawn without replacement from a box with 5 blue, 7 white, and 3 red. Find…

A: We have given that Number of blue balls = 5  Number of white balls = 7  Number of red balls = 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: A single die is rolled twice. Find the probability of rolling a 6 the first time and a 1 the second…

A: The probability of rolling a 6 is 1/6. The probability of rolling a 1 is 1/6.

Q: Find the probability that you will draw the 2 of diamonds first, 6 of hearts second, ace of spades…

A: The number of cards in a deck of cards is 52.

Q: Meredith draws a six from a standard deck of 52 cards. Without replacing the first card, she then…

A:

Q: d 1 through 70. What is the probability that a student will enter a building that is not a multiple…

A: To find:  The probability that a student will enter a building that is not a multiple of 12.

Q: An urn contains 5 red and 4 white balls. Two balls are drawn in succession without replacement. If…

A:

Q: A bag contains eleven balls labeled 1 through 11. One ball will be randomly picked. What is the…

A:

Q: you are dealt two cards successively (withouth replacement) from a shuffled deck of 52 playing…

A: From the given information we want to find the probability of first card is King and second card is…

Q: In a lottery game, a player picks 5 numbers from 1 to 45. If 4 of the 5 numbers match those drawn,…

A:

Q: An urn contains 4 red and 3 white balls. Two balls are drawn in succession without replacement. If…

A: From the provided information,An urn contains 4 red and 3 white balls. Two balls are drawn in…

Q: Suppose that a family has 6 children.​ Also, suppose that the probability of having a boy is 12.…

A: Let  'X' be the random variable representing the number of boys in the family.  The random variable…

Q: There are three puppies in a particular litter. Assume that the probability of a puppy being male is…

A: There are three puppies in a particular litter. Assume that the probability of a puppy being male is…

Q: A single die is rolled twice. Find the probability of rolling an odd number the first time and a…

A:

Q: Find the probability that a randomly selected group of five adults will contain all women. Give your…

A: Let the probability of selecting a man and woman is 1/2

Q: Finn, John, Andrew, and Eddie are going to have a movie night this weekend. Together, they have 30…

A: It is given that together they have 30 movies.  So, out of 30, 4 movies can be chosen in 30C4 =…

Q: An urn contains 3 red and 7 blue balls. Pick a ball; keep it; pick another ball. Find the…

A: Given: Total number of balls=10 Number of red balls=3 Number of blue balls=7

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.