A bowl contains 5 white balls, 10 red balls, and 15 blue balls. You are to randomly select two balls without replacement. You will draw one ball (and keep it outside of the bowl) and then you will draw a second ball. Is the event of drawing a red ball on the fırst draw independent of drawing a white ball on the second draw?

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: From a pack of playing cards four cards are drawn without replacement. What is the chance that all…

A: We know that  There are 52 card in the deck in which they divided into two color i.e red(26) and…

Q: If there are 12 people in a room: 3 democratic men, 3 republican men, 3 democratic women, and 3…

A: Given: Total number of people in a room = 12 Democratic men = 3 Republican men = 3 Democratic women…

Q: Suppose that women obtain 54% of all bachelor’s degrees in a particular country and that 20% of all…

A: To find: Are the events “the bachelor’s degree holder is a woman” and “the bachelor’s degree is in…

Q: The mathematics faculty at a certain college consists of 10 full professors, 6 associate professors,…

A: From the given information, thee are  10 full professors 6 associate professors 12 assistant…

Q: A bag contains 3 white balls and 5 black balls. If two balls are drawn in succession without…

A:

Q: A bag of 33 tulip bulbs contains 12 red tulip bulbs, 12 yellow tulip bulbs, and 9 purple bulbs.…

A:

Q: An urn contains 10 red, 3 Black and 5 orange balls. If one ball is selected at random, what is the…

A: The solution to the question is explained below.

Q: 6-) If three balls are randomly drawn from a bow containing 6 white and 5 black balls, what is the…

A: Given three balls are randomly drawn from a bow containing 6 white and 5 black balls. To find the…

Q: Consider a collection of envelopes consisting of 1 red envelope,3 blue envelopes,3 green envelopes,…

A: Given that a collection of envelopes consisting of 1 red envelope,3 blue envelopes,3 green…

Q: An urn contains 5 red, 6 blue, and 8 green balls. If a set of 3 balls is randomly selected, what is…

A: given that,  5 red balls 6 blue balls 8 green balls total number of balls = 19 we have to choose 3…

Q: 2. A Engineering team has 120 members, of whom 44 are Electrical Engineers, 30 are Mechanical…

A: sample size = 120 Let E: Electrical engineers      M: Mechanical engineers PE: 44120=0.367PM:…

Q: A 2​-card hand is dealt from a standard​ 52-card deck, and then one of the 2 cards is chosen at…

A: Total cards = 52 Total diamond card= 13 One card is selected and which is diamond. Thus, Total…

Q: An urn has 21 balls that are identical except that 8 are white, 8 are red, and 5 are blue. What is…

A: Given that ; An urn has 21 balls.  Total balls (n) = 21 White balls (w) = 8 Red balls (R) = 8 Blue…

Q: n a lot of 25 molded parts there are 5 that are defective, if 3 are selected at random and without…

A: To find the probability that the three parts are defective:

Q: From a bag containing 6 white balls, 3 black balls, and 13 red balls, two balls are drawn at random.…

A: To find: The probability that both the ball being red. Given: There are 6 white balls, 3 black…

Q: Suppose that a certain precinct contains 12 voters, of which 7 are Democrats and 5 are Republicans.…

A: From the given information, there are 7 Democrats and 5 are Republicans. The total number of voters…

Q: Assume that there are 8 white mice and 7 black mice to choose from, and you randomly pick 4 mice.…

A: It is given that, there are 8 white mice and 7 black mice. Thus, total mice  =8+7=15 We randomly pic…

Q: For a departmental inquiry committee, an employer randomly selects a sample of three employees from…

A: The following information is available in the question Total number of employees = 10 Number of…

Q: a. A bag contains 7 white marbles, 6 black marbles, and 5 red marbles. If a marble is drawn from the…

A: As per our guidelines, we are allowed to answer one question per query. Please ask b question…

Q: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win…

A: Obtain the probability that exactly 4 of those games are won by the Colonials.   The probability…

Q: A committee of 8 members is to be formed from a group of 8 men and 8 women. If the choice of…

A: Here , we have to form a committee of 8 members out of 16 people, including 8 men and 8 women . we…

Q: Suppose the New York Yankees play a double-header . Using W for a win and L for a loss, list all the…

A: Double header outcomes and events are described as follows: Here, W represents win and L represents…

Q: A bag contains 43 black marbles, 84 green marbles, and 73 blue marbles. If a marble is drawn from…

A:

Q: An urn contains 7 red balls, 2 blue balls, 4 green balls and 3 yellow balls, If a single ball is…

A: Total number of balls =7+2+4+3 =16.If the ball is neither yellow nor blue, then it will be either…

Q: Nine new employees, two of whom are married to each other, are to be assigned nine desks that are…

A: There are total 9 employees. We can arrange them in 1 row in 9!=362880 ways If the couple have…

Q: An urn contains 10 red balls, 20 yellow balls, and 40 orange balls.  If you reach into the urn and…

A:

Q: A jar holds 20 cookies, 15 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A: We have to find given probability.

Q: Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls to see if…

A: Probability is a branch of mathematics or statistics which basically deals with the chances of…

Q: One-fourth of the female freshmen entering a Virginia College are out-of-state students. If the…

A: Binomial distribution is given by

Q: If an urn has five white balls and 10 red balls what is the probability that five randomly selected…

A: Given that an urn has 5 white balls and 10 red balls. Total number of balls is 5+10=15 Number of…

Q: A four-person committee is randomly selected from a pool of 19 Americans and 131 Canadians. What is…

A: Given, four-person committee is randomly selected from a pool of 19 Americans and 131 Canadians.…

Q: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win…

A: Given: P(Win)=P(Not Win)=0.5 Number of games (n) = 4 Consider, X be the random variable that…

Q: Suppose that 6 cards are drawn from a​ well-shuffled deck of 52 cards. What is the probability that…

A: In the given question we have to find the probability of getting all 6 cards black from a deck of 52…

Q: If an urn has 10 white balls and nine red balls what is the probability that five randomly selected…

A: Total number of white balls = 10 The probability of white ball = 10/19 = 0.526   n = 5

Q: consider a political discussion group of 6 democrats, 5 republicans, and 3 independents.  If two…

A: Given that  consider a political discussion group of 6 democrats, 5 republicans, and 3 independents.…

Q: What is the probability of getting an ace (Event A) and queen (event B) happening in a fair hand of…

A: Probability of getting an ace Event A and Queen Event B : 4 C1 and 4 C1

Q: A jar holds 20 cookies, 15 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A:

Q: A jar holds 20 cookies, 14 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A: Given a jar contains 20 cookiesNo.of cookies = 20No. of chocolate-chip cookies = 14No.of brussel…

Q: An urn contains 6 white and 9 black balls. If 4 balls are to be randomly selected without…

A:

Q: An urn contains 7 red balls, 2 blue balls, 4 green balls and 3 yellow balls. If two balls are drawn…

A: Given, An urn contains 7 red balls, 2 blue balls, 4 green balls and 3 yellow balls. Total number of…

Q: Of the cartons produced by a​ company, 9​% have a​ puncture, 7​% have a smashed​ corner, and 0.5​%…

A: The general formula of probability is given by, P(A or B)=P(A)+P(B)-P(A and B) Given: 9​% have a​…

Q: and 7 fed Dals, the second urn has 2 blue balls and 8 red balls, and the third urn has 5 blue balls…

A: Answer: If we draw a red from the first urn then it is sure that we will draw at least 2 balls…

Q: if an urn has 5 white balls, 10 red balls, and 6 green balls, what is the probability that 4…

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

Q: A bag of 31 tulip bulbs contains 13 red tulip​ bulbs, 8 yellow tulip​ bulbs, and 10 purple tulip…

A: Solution