Consider two bowls that each contain red and blue chips. Bowl 1 contains 3 red and 7 blue chips, while bowl 2 contains 8 red and 2 blue chips. A fair die is rolled, if it lands on a five or a six then bowl 1 is selected, otherwise bowl 2 is selected. Next, one chip is drawn from the selected bowl. a) Find the probability that a red chip is drawn. b) Given that a red chip was drawn, what is the probability that bowl 1 was selected?

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: At a sorority meeting, there are 7 seniors, 4 juniors, and 3 sophomores. If a committee of 4 is to…

A: Number of seniors = 7 Number of juniors = 4 Number of sophomores = 3

Q: Suppose an urn contains 10 marbles: 4 are white and 6 are black. We will draw marbles randomly,…

A: First four are whack which means they are white and one of the first 5 drawn marbles.

Q: If each coded item in a catalog begins with 3 distinct letters followed by 4 distinct nonzero…

A:

Q: Bowl 1 contains 4 red chips, Bowl 2 contains 3 white chips and Bowl 3 contains 2 red and 5 white…

A: Given Information: Bowl 1 contains 4 red chips. Bowl 2 contains 3 white chips. Bowl 3 contains 2 red…

Q: If three cards are drawn without replacement from a​ deck, find the probability that the third card…

A: Consider, Probability of first card being queen = 4/52 Probability of selecting second card 5 = 4/51…

Q: Machine A makes 15% of the components, machine makes 30%, machine C makes 35% and machine D makes…

A: Given: P(A)=0.15P(B)=0.3P(C)=0.35P(D)=1-P(A)+P(B)+P(C)         =1-[0.15+0.30+0.35]         =0.2…

Q: From a box containing six black plates, eight white plates and ten blue plates, one plate is drawn…

A: Solution

Q: If the spinner shown is spun twice, find the probability that the pointer lands on red on the first…

A: Probability is the chance of an event happening, that event can be anything from picking a card from…

Q: Suppose members of three families (say, A, B and C) are to be randomly arranged in a row. Family A…

A: Given information: The total number of families = 3 named as A, B, and C. Family A consists of 5…

Q: • There are three urns, each with 6 red balls, 3 brown balls, and 8 purple balls. You draw one ball…

A: here to check given problms are satisfies the condition of binomial distribution. first let us see…

Q: Consider a collection of envelopes consisting of 1 red envelope​,2 blue envelopes​,3 green…

A: Probability of an event=( number of favourable events)/(total number of events)

Q: An urn has 3 red, 5 white, and 3 blue balls in an urn and two are drawn one after another without…

A: It is given that an urn contains 3 red, 5 white, and 3 blue balls. Two balls are one after another…

Q: Each letter of the word LOVEMATHS is placed in hat. If one letter is drawn randomly, what is the…

A:

Q: what is the probability that the other side is colored black?

A: Our aim is to find the probability that the other side is colored black.

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: An urn has 2 red, 4 white, and 3 blue balls in an urn and two are drawn one after another without…

A: Total number of balls in an urn,

Q: Assume that there are 7 white mice and 5 black mice to choose from, and you randomly pick 4 mice.…

A: To work out the probability of the required event

Q: Students who have qualified for a scholarship include students from Fayetteville High​ School, from…

A:

Q: If the wheel is spun and each section is equally likely to stop under the pointer, determine the…

A: P(A|B)=P(A∩B)  / P(B) Where P(A|B)=probability of event A occurs given that event B has occured…

Q: An urn contains 4 red, 4 black, 6 blue and 2 green balls. If five balls are randomly selected from…

A: Given,no.of red balls=4no.of black balls=4no.of blue balls=6no.of green balls=2total no.of balls=16

Q: A traffic control engineer reports that. 75% of the vehicles passing through a checkpoint are from…

A: Given that  75% of the vehicles passing through a check point are from within the state. So the…

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: Suppose a die has been loaded so that the [∙] face lands uppermost 3 times as often as any other…

A: Let x denote the probability other 5 elements. Let 3x denotes the probability of a [∙]. The…

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: An urn has 2 red, 5 white, and 4 blue balls in an urn and two are drawn one after another without…

A: There are total (2+5+4)=11 balls in the urn. We can draw the first red from 11 balls in 2 ways We…

Q: If two marbles are drawn with replacement from a bag containing 4 blue marble, 3 white marbles, 7…

A: We have to find probability..

Q: The physics department of a college has 10 male professors, 6 female professors, 13 male teaching…

A: Given that, Number of male professors = 10 Number of female professors = 6 Number of male teaching…

Q: When seven basketball players are about to have a​ free-throw competition, they often draw names out…

A: Given that: Number of basketball players, n=7 Required probability: All 7 of them will shoot in an…

Q: A spinner with 6 equally sized slices has 2 blue slices, 1 red slice, and 3 yellow slices. The dial…

A: We have to find given probability.

Q: selected

A:

Q: At a sorority meeting, there are 7 seniors, 4 juniors, and 3 sophomores. If a committee of 6 is to…

A:

Q: In a club with 8 male and 15 female​ members, a 5​-member committee will be randomly chosen. Find…

A: Given  In a club  Number of males = 8 Number of females = 15 Total members= 23

Q: Consider a collection of envelopes consisting of one red envelope, three blue envelopes, two green…

A: We have given that a collection of envelopes consisting of one red envelope, three blue envelopes,…

Q: If two cards are drawn without replacement from an ordinary​ deck,find the probability of a jackand…

A: Multiplication Rule for two Independent events:If the events A and B are said to be independent…

Q: Consider two urns. The first one contains 5 red balls, 3 green balls, and 2 yellow balls. The second…

A:

Q: Suppose that a district consists of 100 female voters and 200 male voters. If a group of ten voters…

A: Given problem Given that   Suppose that a district consists of 100 female voters and 200 male…

Q: A deck consist of 3 Jacks, 3 Queens and 3 Kings of different suit. What is the probability of…

A: No: of  possible outcomes=taking 3 cards from 9 cards…

Q: If two 12-sided dice (one is red and one is blue) are rolled, find the probability that a 3 on the…

A: Experiment: Two 12 sided dices are rolled. sample space for red die= { 1,2,3,4,5,6,7,8,9,10,11,12 }…

Q: An urn has 3 red, 4 white, and 3 blue balls in an urn and two are drawn one after another without…

A: Given information: Frequency of red balls in an urn, r = 3 Frequency of white balls in an urn, w = 4…

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

A:

Q: A deck consist of 3 jacks, 3 queens, and 3 kingsof different suit. what is the probability of…

A: Given information: A deck consist of 3 jacks, 3 queens, and 3 kings of different suit.

Q: There is a spinner with 8 equal areas, numbered 1 through 8. If the spinner is spun one time, what…

A: Topic : Probability

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: Of the 28 restaurants in an area, 4 serve one type of cuisine, 9 serve two different types of…

A: We have to find given probability.

Q: Basket contains 4 red marbles, 10 blue marbles, and 6 green marbles. If a blindfolded man selects 8…

A:

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

A:

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: The mathematics department of a college has 6 male​ professors, 11 female​ professors, 10 male…

A: According to the given information, we have   Professors Teaching assistants Total Male 6 10 16…