A box contains r red balls and b blue balls. One ball is selected at random and its color is observed. The ball is then returned to the box and k additional balls of the same color are also put in the box. A second ball is then selected at random, Its color is observed & it's returned to the box together with k additional balls of the same color. Each time another ball is selected, the process is repeated. If four balls are selected, whats the probability that the first three balls will be red and the fourth be blue?

Q: Erin just bought a bag of gumballs with eight different colors of gumballs. One of the colors is…

A: Let X denotes the number of gumballs that Erin will need to pull out of the bag until she gets her…

Q: If the experiment is repeated 1500 more times, about how many times would you expect Brody to remove…

A:

Q: A committee consists of 4 men and 5 women. Three members are to be selected at random to form a…

A: Given that  Committee consists of  4 Men and 5 Women  Then we have to choose 3 members to be…

Q: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

Q: Suppose an urn contains red, green, blue, and black marbles. Suppose you draw marbles from the urn 5…

A: If an event with n different possibilities are repeated r number of times, then the number of…

Q: Imagine a game show on television where one lucky contestant is presented with three upside-down…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A bag contains 2 red marbles, 5 blue marbles, and 6 green marbles. A handful of 4 marbles is…

A:

Q: There are 50 athletes signed up for a neighborhood basketball competition. Players can select to…

A: The objective of the question is to find out the different combinations of games that could be…

Q: There are 25 students in a science class. Twenty percent of the students are randomly chosen to…

A: Solution :  There are 25 students in a class.  Twenty percent of the students are randomly chosen…

Q: The math club has seven members and will choose a team of three to send to a competition. The…

A: Given that the math club has 7 members and will choose a team of 3 to send to a competition.  The…

Q: At a baby shower 17 guests are in attendance and 5 of them are randomly selected to receive a door…

A: Combination Rule: The arrangement of r objects from n different objects is given by: nCr=n!r!n-r!

Q: A spinner wheel with 3 color choices (red, blue, and yellow) is spun and a​ 4-sided die is rolled.…

A: Given Information: Spinner wheel with 3 color choices along with a 4 sided die is rolled

Q: A popular gambling game called keno, first introduced in China over 2000 years ago, is played in…

A: 2 of the 4 numbers chosen by the gambler are lucky numbers. Because 4 numbers were chosen, there…

Q: As you entered a casino, an oversized gold bowl containing four dice is presented to you. Pick one…

A: The term probability is defined as the chance of occurrence of an event. The probability value…

Q: Benny is a messy student who keeps all his colored socks in a box. The box contains a total of 4…

A: Given: Number of blue socks = 4 Number of yellow socks = 2

Q: Hello, The site shows two different answers for (a) I would like clarification as to which is…

A: The provided information is as follows:The total number of people in the line-up in a random order…

Q: There are 12 players on a basketball team. A starting line up consists of a selec ive players to…

A:

Q: In a shipment of  59 vials, only 14 do not have hairline cracks. If you randomly select 2 vials from…

A: Given that  Number of vials (n) = 59 Vials do not have hairline cracks = 14 Vials having hairline…

Q: Diana​ Baniak, searching for an Ecology​ class, knows that it must be in one of seven classrooms.…

A: Total there are 7 rooms and Diana​ Baniak will select 3 rooms at random.

Q: Mrs. Mortlock uses a calculator program to select students at random to answer questions during…

A: Given that, There are 28 students in the class. The computer program is used to select the student…

Q: You are trying frantically to get dressed, and you need to reach into your sock drawer to get two…

A: Given Information: There are a total of 20 socks which consists of 10 matched pairs. This means…

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

A:

Q: There are 8 people on a basketball team, and the coach needs to choose 5 to put into a game. How…

A:

Q: A box contains 10,000 tickets: 4,000 zeros and 6,000 ones. And 10,000 draws will be made at random…

A: As the draws are obtained without replacement, the population size decreases with each additional…

Q: A restaurant has a "low sodium" menu and a "low calorie" menu. On the "low sodium" menu there are 5…

A: Solution: We can write the given information in a tabular form as follows:   Low Sodium Low…

Q: A poker game requires players to draw a card and roll a die. The combination of card and die will…

A: Let there be x types of item A and y types of item B . Then, the number of different combinations of…

Q: A sock drawer contains 3 black socks, 4 blue socks, and 7 brown socks. If you pick socks from the…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: In a shipment of  62 vials, only 14 do not have hairline cracks. If you randomly select 3 vials from…

A: The number of vials is 62. The number of vials selected randomly is 3.

Q: A man just bought 6 suits, 11 shirts, and 15 ties. All of these suits, shirts, and ties coordinate…

A: Theory of Combination:

Q: a. The Bingo master starts a new round. What is the probability that the first 3 numbers will be…

A: BINGO4273255731525415875826059707223354621317434867

Q: A lottery will randomly choose a four digit number with the following procedure: 10 tiles each with…

A: Ten tiles numbered 0 to 9 are placed in a box.  Four tiles are picked one by one to form a 4-digit…

Q: There are 20 members of a club.  The club is going to select a president, vice president, and…

A: Given: 20 members in a club.

Q: Suppose we went to choose 2 colors, without replacement, from the 4 colors red, blue, green, and…

A:

Q: Suppose we want to choose 2 colors, without replacement, from the 4 colors red, blue, green, and…

A: Given data: Suppose we want to choose 2 colors, without replacement, from the 4 colors red, blue,…

Q: A firm has 25 senior and 26 junior partners. A committee of three partners is selected at random to…

A: A firm has 25 senior and 26 junior partners.