6. Twenty chips numbered 1 through 20 are mixed in a bowl. Three chips numbered (x, y, z) are drawn from the bowl, successively and with replacement. What is the probability that X+Y+Z<5

Q: There are 9 black balls and 9 red balls in an urn. If 3 balls are drawn without replacement, what is…

A: It is given that Number of black balls = 9 Number of red balls = 9 Total = 18

Q: A ball is chosen at random out of a bowl containing 3 red balls, 2 green balls, and 1 blue ball and…

A: Given Number of red balls=3 Number of green balls=2 Number of blue balls=1 N=total number of balls=6…

Q: When 2 fair dice is rolled, let X be the sum of number faced-up on two dice. Compute the probability…

A: We have given that, The 2 fair dice is rolled, let X be the sum of number faces-up on two dice.…

Q: What is the probability of getting at least one red ball when drawing 4 balls from a box containing…

A: Given that a box contains 3 red balls, 4 white balls and 6 yellow balls and 4 balls are drawn from…

Q: When 2 dice are rolled, find the probability of getting a greater number on the first die than the…

A: When 2 dice are rolled. then sample space(S) is;…

Q: 13) School 1 claims that it is a much better school than School 2. As the reason, School 1 refers to…

A: Value claims are argumentive statements concerning pros and cons on something that is subjective to…

Q: Suppose a jar contains 13 red marbles and 16 blue marbles. If you reach in the jar and pull out 2…

A:

Q: There are x boxes and y balls. The y balls are randomly distributed into the x boxes. What is the…

A: Introduction: The y balls are randomly distributed into x boxes. Thus, for each ball, the…

Q: There are 8 black balls and 5 red balls and an urn. If 4 balls are drawn without replacement what is…

A: Given no.of black balls = 8no.of red balls = 5Total no.of balls = 13

Q: Two balls are picked at random from a bag containing 8 red balls and 5 white balls. Calculate the…

A: Given data :  Red balls = 8  White balls = 5  Total number of balls = 13

Q: What is the probability that you can draw a red marble from a box containing 7 white, 4 red, and 5…

A: Solution: From the given information, a box contains 7 white, 4 red and 5 blue marbles. Total number…

Q: The manager of the high school baseball team randomly selects 7 pitchers from a group of 13 students…

A:

Q: A group of 9 people is randomly chosen from 5 freshmen, 3 sophomores, 6 juniors and 4 seniors to…

A: Given information: Number of freshmen, f = 5 Number of sophomores, s = 3 Number of juniors, j = 6…

Q: A child is allowed to have 2 treats from a bag containing 21 chocolates, 11 hard candies, and 10…

A:

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: Assume that the box contains 10 balls: 2 red, 2 green, and 6 blue. 2 balls are drawn at random, one…

A:

Q: There are 5 white, 4 black, and 3 red balls in an urn. We select 3 balls at random from this urn.…

A:

Q: There are a collection of pens in a bucket: 4 red, 5 black, 4 blue, and 8 purple. If one pen is…

A: The number of red pens=4. The number of black pens=5 The number of blue pens =4 The number of purple…

Q: Suppose one card is drawn randomly from a standard deck of 52 cards. What is the…

A: Answer: From the given data, Total number of cards in a standard deck = 52 number of ace in a deck =…

Q: An urn contains three red, three black, and three green balls. If two balls are selected at random…

A: To work out the probability of the required event

Q: 6. Six boys and six girls sit in a row. Find the probability that (a) the six girls sit together (b)…

A:

Q: What is the probability that the ball is white, given that the ball is odd-numbered?

A: A bag contains 9 red balls numbered 1, 2, 3, 4, 5, 6, 7, 8, 9 and 6 white balls numbered 10, 11, 12,…

Q: Nine balls are distributed among four boxes randomly. Calculate the probability that one of the…

A: Here given that total number of items, n=9 We can distribute 9 balls among 4 boxes in…

Q: Suppose there are 4 red balls and 3 yellow balls in a box . 3 balls are drawn from the box without…

A:

Q: Box I contains 5 tickets numbered from 1 to 5. Box II contains 3 tickets numbered from 4 to 6. One…

A:

Q: Urn X contains 3 red and 2 white balls, and bowl Y contains 4 red and 3 white balls. A ball is drawn…

A: We have to use multiplication theory of probability to find the required probability.

Q: A committee of 2 is chosen at random from a population of 4 men and 5 women. What is the probability…

A: given data, A committee of 2 is chosen at random from a population4 men5 women9-total members the…

Q: An urn contains 10 red balls, 14 green balls, and 7 yellow balls. What is the probability of…

A: We have given that Red balls = 10 Green balls = 14 Yellow balls = 7 Total balls = 10+14+7 = 31

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.