One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is withdrawn from the chosen urn. Urn 1 contains 4 white and 2 red balls, and urn 2 has 1 white and 5 red balls. If a red ball is drawn, what is the probability that it came from urn 1? The probability is (Type an integer or a fraction. Simplify your answer.)

Q: From a group of 3 Indians. 4 Pakistanis and 5 Americans a sub-committee of four people is selected…

A: Given that group consist of 3 Indians, 4 Pakistanis and 5 Americans. A committee of four peoples is…

Q: Ten people are gathered to form a committee of size 4. If there are 6 men and 4 women in the group…

A: Given: n(total) = 10 n(women) = 4 n(men) = 6 n(chosen) = 4 n(women chosen) = 3

Q: Suppose you have three bowls, XX, YY, and ZZ, each with four balls with XX having 3 red and 1 blue,…

A:

Q: The probability that an American industry will locate in Shanghai, China, is 0.7, the probability…

A: Given, Let us consider, A be the event of American industry locate in Shanghai, China B be the event…

Q: in a group of 10 people , 4 have Mercedes and 5 have bmws. find the probability that a perseon…

A: From the provided information, Total people in group = 10 Out of which 4 have Mercedes and 5 have…

Q: For this problem, assume the box contains 5 mango balls, 4 aqua balls, and 7 gold balls, and that we…

A: Let A be the event that the chosen balls are not mango balls. Let B be the event that the chosen…

Q: Find the probability in each of the below four cases, if the balls are drawn one after the other…

A: Given that there are 4 white & 6 black balls. Total (4+6)=10 balls We can draw any 2 balls from…

Q: Suppose that a box containing music CDs has 4 with country music, 6 with rock music, 3 with jazz…

A: A box containing music CDs has 4 with country music, 6 with rock music, 3 with jazz music, and 7…

Q: Betty picks 4 random marbles from a bowl containing 3 white, 4 yellow, and 5 blue marbles. The…

A: Given that, Bowl contains 3 white, 4 yellow, 5 blue marbles. And Betty pics 4 random marbles.

Q: Suppose that a certain college class contains 49 students, Of these, 27 are juniors, 24 are…

A: a) It is given that, there are 49 students in a class, among which 27 are juniors, 24 are…

Q: In a certain lottery, 48 balls numbered 1 through 48 are placed in a machine and six of them are…

A: From the provided information, 48 balls numbered 1 through 48 are placed in a machine and six of…

Q: The probability that a customer selects a pizza with mushrooms or pepperoni is 0.55, and the…

A: Given problem Given that

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: Suppose that a certain college class contains 55 students. Of these, 30 are seniors, 28 are…

A: It is an important part of statistics. It is widely used.

Q: Consider the wheel to the right. If the wheel is spun and each section is equally likely to stop…

A:

Q: For this problem, assume that there are 6 men and 4 women on the committee, and that a subcommittee…

A: If there are all the same sex then there can be two outcomes: 1) All the men: We can select 3 men…

Q: A financial services committee had 60 ​members, of which 10 were women. If 8 members are selected…

A: Basic concepts of Probability and Permutation-Combination are used.

Q: Assume for this problem that the company has 8 Yugos and 3 Buicks, and two cars are selected…

A:

Q: In a large population, 62 % of the people have been vaccinated. If 4 people are randomly selected,…

A: It is given that p=0.62 and n=4.

Q: Two cards are drawn from a standard deck of cards, and one of the two cards is noted and removed.…

A:

Q: In a city, 40% of the population is poor, 25% people are rich, and 35% are middle class.find the…

A: Given Information: 40% of the population is poor  25% people are rich 35% are middle class.

Q: The eye color of mice is determined by a dominant allele E, corresponding to black eyes, and a…

A:

Q: Suppose we select, without looking, one marble from a bag containing 6 red marbles and 7 green…

A:

Q: Suppose that a certain college class contains 39 students. Of these, 26 are sophomores, 21 are…

A: a) For any two events A and B, it is known that P[A ∪ B] = P[A]  + P[B] – P[A ∩ B].

Q: Of the students living in the dormitories at a university, 58% live at west hall, and the rest at…

A: Given that 58% live at west hall, so (100-58)%=42% live at the south tower.  Given: A sandwich shop…

Q: A jar contains 6 black marbles and 13 yellow marbles. One marble is drawn at random. The probability…

A: To find: Probability of getting a black marble.

Q: The probability that the lady of the house is home when the Avon representative calls is 0.55. Given…

A: Conditional probability formula : P(B|A) = P(A n B) /P(A)

Q: There are two bags, one bag contains Smarties and the other bag contains M&M's.  The probability of…

A:

Q: For this problem, assume the box contains 8 white balls, 5 blue balls, and 4 red balls, and that we…

A: Number of white balls is 8. Number of blue balls is 5. Number of red balls is 4.

Q: Suppose we select, without looking, one marble from a bag containing 5 red marbles and 12 green…

A:

Q: In one lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order…

A: Probability : Probability could be a field of arithmetic that deals with numerical descriptions of…

Q: A high school class consists of 6 seniors, 10 juniors, 11 sophomores, and 9 freshmen. Exactly 4 of…

A: Given : seniors = 6 juniors = 10 fresmen = 9 sophomores = 11 total = 36 4 juniors are female that…

Q: An urn incudes 13 balls: 2 red, 4 white and 7 green balls. The probability of selecting 6 balls…

A: We can select 1 red ball in 2C1=2 ways We can select 2 white balls in 4C2=6 ways We can select 3…

Q: On a fair, 8-sided die, each face is painted as follows: the 1 and 2 are painted green, 3 through 6…

A: We have to find given probability.

Q: From past experience, a company has found that in a carton of transistors, 92% contain no defective…

A: x p(x) 0 0.92   1 0.03   2 0.03   3 0.02

Q: Josh has a weighted coin with Pr[H]=0.65 If he flips this coin four times, what is the probability…

A:

Q: Sara draws the 77 of hearts from a standard deck of 52 cards. Without replacing the first card, she…

A:

Q: In one lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order…

A:

Q: box contains 4 bulbs of 40W, five of 60W and six of 75W. If two bulbs are chosen at random and at…

A: Given that  A box contains 40W bulbs = 4 60W bulbs = 5 75W bulbs = 6 Total bulbs in box = 4+5+6 = 15…

Q: An urn B, contains 2 white and 3 black chips and another urn B, contains 3 white and 4 black chips.…

A:

Q: Gail is taking two courses, Psychology and Engineering.  Student records indicate the probability of…

A: It is given that, There are two different courses, one in Psychology and the other in Engineering.…

Q: An urn contains 15 balls marked LOSE and 3 balls marked WIN. Suppose that Chuck and Delilia take…

A: An urn contains 15 balls marked LOSE and 3 balls marked WIN Total = 18 Chuck makes the first…

Q: Suppose you have three bowls, X, Y , and Z with some number of red and blue balls. Bowl X has 2 red…

A:

Q: Given that 15% of a group of people are left handed.  If we select 6 people at random, select from…

A: Let us denote X=the number of persons who are left handed n=sample size=6 p=probability of success=…

Q: From a group of 3 Indians. 4 Pakistanis and 5 Americans a sub-committee of four people is selected…

A: The number of ways to select r objects out of n distinct objects using the rule of combination is…

Q: Suppose a classroom teacher must form a committee of 4 people. If the classroom has 25 students,…

A: The no. of people in the classroom is 25 and the committee contains 4 people.

Q: In a batch of 1900 toys, there are, on average, 10 defective ones. If a random sample of 140 is…

A: Given: Total number of toys = 1900 Number of defective toys = 10 Number of toys selected = 140…

Q: is 4 workers per shift. Find the probability that on a particular shift, (i) exactly four workers…

A:

Q: Suppose that in a barangay, three out of five are registered voters. If 10 people are selected at…

A:

Q: Suppose 40% of high schoolers say they play football. A random sample of 8 high school students is…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.