There are 6 boxes, 2 of type A and 4 of type B. Type A boxes each contain 2 green marbles and 3 red marbles. Type B boxes each contain 1 green marble and 3 red marbles. A box is selected at random and a marble is drawn from the selected box. Find the probability that a. a red marble is selected,  b. a type A box is chosen given that a red marble is selected.

Q: If 20% of the bolts produced by a machine are defective, determine the probability that out of 6…

A: Given: Sample size, n=6 Probability of defective bolt, p=0.20

Q: If two marbles are drawn with replacement from a bag containing 2 blue marble, 3 white marbles, 4…

A:

Q: box A contains 5 nickels and 3 quarters, while box b contains 8 nickels and 4 quarters. A coin is…

A: Consider, A and B be the event that show that coin is chosen from box A and box B respectively. N is…

Q: Suppose that 55% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that 55% of the people own dogs. There are two people. Let us define the binomial random…

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

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: It is believed that 20% of music teachers in New York own a car. 16 music teachers from New York are…

A:

Q: In a class of 37 students, 17 are taking an AP test, 15 are taking an IB test and 6 are taking both.…

A:

Q: A group of people were asked if they owned a dog. 121 responded "yes", and 400 responded "no". Find…

A: According to the provided information, A group of people was asked if they owned a dog. 121…

Q: A bag contains 6 black marbles, 9 blue marbles, 4 yellow marbles, and 2 green marbles. A marble is…

A: Given : A marble is randomly selected, replaced Total number of marbles = 21  Probability of getting…

Q: if a board is selected at a random, find the probability of picking up one that is defective

A: Given that Number of defective boards = 4 Number of good boards = 10

Q: A pet store has 11 ​puppies, including 3 ​poodles, 3 ​terriers, and 5 retrievers. If Rebecka…

A: Given Information :  A pet store has 11 ​puppies, including 3 poodles 3 terriers, and 5 retrievers.…

Q: A bag contains 8 red marbles, 6 white marbles, and 5 blue marbles. You draw 3 marbles out at random,…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: The mathematics department of a college has 14 male professors, 15 female professors, 9 male…

A:

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: r is selected at random, find the probability that the doctor is, (a)   A psychiatrist, surgeon, or…

A: There are 4 dermatologists, 7 surgeons, 5 general practitioners,3 psychiatrists, and 3 orthopedic…

Q: If 25% of the bulbs produced by ABC Lighting Company are defective, determine the probability that…

A:

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: A bag of marbles has 10 red marbles ,24 blue marbles ,5 purple Mables and 17 green marbles if one…

A:

Q: What is the probability of neither being red given that neither is white?

A:

Q: In a casino game, two balls are chosen randomly from a box containing 8 white, 4 black, and 2 orange…

A:

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: A box has 12 balls, 4 are red and 8 are green.  Randomly choose 3 balls from the box without…

A: We have given that,  Total balls = 12  Red balls = 4  Green balls = 8  Then,  We will find the…

Q: There are 6 pink, 5 gray and 6 blue marbles in a jar. If one of these is randomly selected, then…

A:

Q: Suppose that 53% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: A cooler contains 9 bottles of water: 3 sparkling and 6 regular. If two are drawn out at random what…

A: According to the provided data, the total number of water bottles in a cooler is 9 out of which 3…

Q: A committee of 4 people is to be randomly selected from a group of 9 people, including Pedro.  The…

A: It is given that, There is a group of 9 people including Pedro.  We have to form a committee of 4…

Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random,…

A: Solution-: We have, number of black balls =4. Number of red balls =5, Number of green balls =6 Total…

Q: find the probability that only three have traveled to Italy.

A: Let p be the probability that a tourist have traveled to Italy. Given that p = 0.55 Let X denotes…

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: A pet store has 14 puppies, including 5 poodles, 4 terriers, and 5 retrievers. If Rebecka and Aaron,…

A:

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: 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: A person has n keys, one of which will open her door. a) If they try the keys at random, discarding…

A: A person has n keys, one of which will open her door. Of which one key is help full to open the door…

Q: In a box there are 2 white, 3 black, and 4 red balls. If a ball is drawn at random, what is the…

A: Given: Number of white balls, n(w)=2. Number of black balls, n(b)=3. Number of red balls, n(r)=4.…

Q: A marble is selected at random from a jar containing 5 red marbles, 6 yellow marbles, and 3 green…

A: From the provided information, The jar contains 5 red marbles, 6 yellow marbles and 3 green marbles.…

Q: Suppose that 51% of people own dogs. if you pick two people at random what is the probability that…

A: Given: The value of 51% of people own dogs includes the pick two people at random. The probability…

Q: Find the probability that in a class of 4 males and 10 females, exactly 1 male and exactly 1 female…

A: We have given that the random variable X that is colour blind follows binomial distribution. For…

Q: There are 22 students, from which 6 people will be selected to be on a panel. If Allen and Joe are 2…

A:

Q: A bag contains 10 red marbles, 10 white marbles, and 7 blue marbles. You draw 4 marbles out at…

A: It is given that, A bag contains 10 red marbles, 10 white marbles, and 7 blue marbles and we draw 4…

Q: A bag contains 12 pens, 6 of which are of the color blue and the remaining 6 are red. If a person…

A:

Q: Of the cartons produced by a company, 10% have a puncture, 5% have a smashed corner, and 0.9% have…

A: It is given that P(puncture) = 0.10 P(smashed corner) = 0.05 P(puncture and smashed corner) = 0.009

Q: A color tile will be taken at random contains 2 blue tiles, 5 red tiles, and is the probability that…

A: Given data, Number of blue tiles=2 Number of red tiles=5 Number of green tiles=4 Total number of…

Q: There are nine women and four men on a committee. A subcommittee of three people is selected at…

A: All three people selected are women is denoted as A and all three are the same gender is denoted as…

Q: There are 40 pairs of gloves in Bills’ glove basket, but the 80 individual gloves are completely…

A: a) Individual B has only one favorite pair as mentioned in (a) question.  Total gloves = 80  Total…

Q: A bag contains 7 red marbles, 2 blue marbles, and 1 green marble. If a marble is selected at random,…

A: There are total (7+2+1)=10 marbles  Given that there are 2 blue marbles So the number of marbles…

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: 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…

Q: A box contains 6 defective bulbs and 10 functional bulbs. If 4 bulbs are to be chosen at random what…

A: Given ,           no. of defective bulbs = 6           no. of functional bulbs = 10         Total no…