Suppose that Ahmed selects a ball by first picking one of the two boxes at random and selecting a ball from this box at random.  The first box contains 3 white balls and 2 blue balls, and the second box contains 1 white balls and 4 blue balls.  What is the probability that Ahmed picked a ball from the second box if he has selected a white ball?

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: Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at…

A: If n objects are drawn without replacement from N objects of which a objects are of type 1 and b…

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 box 1 contains a white balls and b black balls, and box 2 contains c white balls and d black…

A: Let us define some events A : transferred ball is white. B : transferred balk is black. E : ball…

Q: A group of 15 undergraduate and 15 graduate students are in a room. If 10 of the 30 students are…

A:

Q: Machine A produces 3% defectives, machine B produces 5% defectives, and machine C produces 10%…

A:

Q: A bag 'A' contains 2 white and 3 red balls and a bag 'B' contains 4 white and 5 red balls. One ball…

A: We have to find given probability.

Q: If 1% of an airline’s flight suffers a minor equipment failure in an aircraft, what is the…

A: From the provided information, 1% of an airline’s flight suffers a minor equipment failure that is p…

Q: Two cards are drawn at random from a deck of 52 cards without replacing the first card before…

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

Q: A subcommittee is to be selected from a committee of men and women. For this problem, assume that…

A:

Q: Suppose that a certain college class contains 47 students. Of these, 21 are freshmen, 29 are physics…

A:

Q: Suppose that a box contains 5 RED blocks, 4 BLUE blocks, and 3 GREEN blocks. Suppose that 3 blocks…

A: Solution: From the given information, there are 5 RED blocks, 4 BLUE blocks and 3 GREEN blocks.…

Q: Box A contains 5 red balls and 4 white balls. Box B contains 6 red balls and 5 white balls. If one…

A: The question is about Bayes' theorem Given : Box A : No. or red balls = 5 No. of white balls = 4 Box…

Q: If approximately 2% of the people in a room of 300 people are left-handed, find the probability that…

A:

Q: One bag contains 6 white balls, 3 red and 4black balls, and a second bag contains 4white balls and 6…

A: 1st bag:no.of white balls=6no.of red balls=3no.of black balls=4Total no.of balls=132nd bag:no.of…

Q: uppose you and your best friend are both in a group of 20 people, and five people are to be randomly…

A: Given that  Suppose you and your best friend are both in a group of 20 people. Randomly selected…

Q: There are 4 red and 5 green balls in a bag. If two balls are drawn one af another at random without…

A:

Q: Suppose that a bag contains 43 red balls, 54 blue balls, and 72 green balls, and that 2 balls are…

A: Given information- Total number of balls in a bag = 169 Number of red balls = 43 Number of blue…

Q: A subcommittee is to be selected from a committee of men and women. For this problem, assume that…

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: A sub-committee of 6 members is to be formed out of a group of 7 men and 4 ladies. Calculate the…

A:

Q: Suppose a jar contains 20 red marbles and 23 blue marbles. You reach in the jar and pull out two…

A:

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: A box contains 8 red balls and 7 black balls. If 2 balls are drawn in a row without returning, what…

A: Probability: It is a method for knowing the possible chances of an incident occurring. For example,…

Q: Suppose that 45% of all babies born in particular hospitals are girls. If 7 babies born in the…

A: Givenn=7p=0.45x=no.of baby girls

Q: It is known that 40% of the students in a certain college are girls and 50% of the students are…

A: A : a student is a girl B : a student is above median height P(A) = 0.40, P(B) = 0.50, P(B|A’) = 2/3…

Q: A box contains 20​ chocolates, but only two of them are the dark chocolate that somebody likes. When…

A: Theoretical Probability:Probability of an event is the number of outcomes favourable to the event,…

Q: Suppose Julia owns a pen manufacturing company and determines that 3 out of every 75 pens are…

A: Here given that 3 out of every 75 pens are defective.  So , p = 3 / 75

Q: Find the probability that one person selected at random from these 300 persons is a faculty member…

A:

Q: Suppose that one ball is drawn from a bag containing 4 red balls numbered 1, 2, 3, 4 and 3 white…

A:

Q: Suppose you have 3 nickels and 4 dimes in your right pocket and 2 nickels and a quarter in your left…

A: Consider the following, E=right pocket  is chosenF=left pocket is chosenN=selected coin is nickel…

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

A: For the given data Find p ( urn 2 / white ) =?

Q: There are 3 blue balls, 5 red balls and 4 white balls in a bag. If a person selects two of the…

A: We have to find  the probability that the second ball is second ball is red, given that the first…

Q: Suppose that the population of a certain city is 40% males and 60% females. Suppose also that 50% of…

A:

Q: Suppose that 4 people check their coats in a checkroom. If all claim checks are lost and the 4 coats…

A: From the provided information, There are 4 people. All people claim checks are lost and the 4 coats…

Q: A family that is known to have two children is selected at random from amongst all families with two…

A:

Q: A team of 5 men and 4 women is to be chosen at random from a group of 8 male and 7 female…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: A circuit to run a model railroad has 43 switches and 9 are defective. If a person selects two…

A: Given that there are 43 switches and 9 are defective. If the person selects two switches at random.…

Q: A box has 20 green hats and 15 blue hats. If you pick 3 hats without replacement, what is the…

A: Given,no.of green hats=20no.of blue hats=15total no.of hats=35

Q: Find the probability that there are two pairs and three of a kind if eight cards are randomly drawn…

A: As Prof. N. G. Das defined, an event is an outcome or a set of outcomes of a random experiment to…

Q: Suppose 50% of the students in school have a part time job. Among those who have a partime job, 20%…

A:

Q: Assume that 6 women and 8 men work in a department at a large company, a committee of 4 people from…

A:

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

A: According to the given information, Purn 1=12 Purn 2=12   Pwhite ball / urn 1=38 Pred ball / urn…

Q: Two boxes A and B contain 1. 2 red balls and 6 white balls, and B contains 2 red and 1 white ball.…

A: given   0.458 is the answer please check the below attachment

Q: Box A contains 5 red and 3 white marbles and box B contains 2 red and 6 white marbles. If a marble…

A:

Q: If three marbles are drawn in succession from 5 blue and6 green marbles inside a jar, find the…

A: Given: Three marbles are drawn in succession from 5 blue and 6 green marbles inside a jar. The first…

Q: Suppose a box has 40 marbles with 36 red and 4 black. If two marbles are selected without…

A: Given that Red marbles  = 36 Black marbles = 4 Total marble = 40

Q: Suppose 30% of Americans are satisfied with the state of the U.S. In a sample of 20 Americans, what…

A:

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

A:

Q: A subcommittee is to be selected from a committee of men and women. For this problem, assume that…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.