Example: An urn contains 10 white and 3 black balls another urn contains 3 white and 5 black balls. Two balls are transferred from first urn and placed in the second and then one ball is taken from the latter. What is the probability that it is a white ball?

Q: Bonami High School has 82 juniors at its school. There are 29 students enrolled in Spanish class and…

A: Total students in school is 82 number of students enrolled in spanish class is, n(S) = 29number of…

Q: 2. A toy manufacturer inspects boxes of toys before shipment. Each box contains 10 toys. The…

A: Formula : Hypergeometric distribution is given by

Q: A bag contains 3 blue marbles, 8 green marbles, and 5 red marbles. One marble is drawn from the bag.…

A:

Q: One jar holds 20 green marbles and 4 white marbles. A second jar holds 60 black marbles and 20 white…

A:

Q: A jar contains 2 red and 3 green jellly.  Two jelly are taken simultaneously and completely at…

A: From the given information,   A jar contains 2 red and 3 green jelly. Two jelly are taken…

Q: A box contains 4 red, 7 white and 9 blue marbles. You reach in and remove two marbles one at a time…

A: Given information 4 red marbles, 7 white marbles and 9 blue marbles Total marbles = 4 + 7 + 9 = 20

Q: A teacher has a bag of marbles. There are 6 red, 6 blue, 8 green, 7 purple, and 8 yellow marbles in…

A:

Q: An bag contains three black, seven red, and five blue balls. Two balls are randomly drawn. What is…

A:

Q: 3. There are six songs on a playlist. Each song is performed by a different artist: Bob Marley,…

A: 3. The probability formula is, Probability=Number of favourable outcomesTotal outcomes There are six…

Q: Example 19: A box has 6 red balls and 4 black balls, if two balls has bęen dráwn Cophelj しい one by…

A:

Q: 12. When Sue sees a bag of marbles, she grabs a handful at random. She has a bag that contains four…

A: There are total (4+3+2+1)=10 marbles in the bag.She can pick 5 marbles from 10 marbles in 10C5=252…

Q: Example 1: A pack contains 4 blue, 2 red and 3 black pens. If 2 pens are drawn at random from the…

A: Given data: A pack contains 4 blue, 2 red and 3 black pens.

Q: 2) A jar contains 4 red balls, 3 green balls, and 5 yellow balls. One ball is chosen at random from…

A:

Q: Work this problem involving rental cars with navigation systems. Assume that the car lot contains…

A:

Q: 1. A bag contains 2 white balls, 4 black balls, and 6 red balls. One ball is drawn. What is the…

A: Given : Number of white balls = 2 Number of black balls = 4 Number of red balls = 6 Total number of…

Q: 3. There are three balls in an urn: one red, one green, and one blue. An experiment has the…

A:

Q: An urn contains seven black balls and three white ones. Two players, A and B, take turns to draw a…

A: Solution: Given that : there are 7 black and 3 white balls

Q: An urn contains five white, three red, and two blue balls. Two balls are randomly drawn. What is the…

A: a. There are totally 10 balls in an urn out of which five are white, three are red, and two are…

Q: A card player selects 2 cards from a deck of 52 cards at random without replacement. The deck…

A: Given Data: The number of cards in the deck is: n=52 The number of aces in the deck is: r=4 The…

Q: A race consists of 11 women and 7 men. What is the probability that the top three finishers were all…

A: There are total (11+7)=18 persons.We can pick top 3 finishers from 18 persons in 18P3=4896 ways.We…

Q: A vase has 3 red roses 4 white roses and 6 yellow roses. If a rose is picked from the vase to give…

A:

Q: A card is drawn at random from a deck. (a) What is the probability that it is an ace or a king? (b)…

A: Total number of ways of drawing 1 cards from 52 cardsn(S)=52

Q: A box contains 2 red, 2 white, and 4 green balls. Two balls are drawn out of the box in succession…

A: We have given that,  A box contains balls are,  Red balls = 2 White balls = 2 Green balls = 4 Then,…

Q: An urn contains three red and two white balls. A ball is drawn, and then it and another ball of the…

A: b). It is given that there are 3 red and 2 white balls in an urn. Since, after drawing a ball from…

Q: 2. A bag contains 4 blue balls, 2 yellow balls, and 5 red balls. One ball is drawn from the bag.…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A bag contains 3 red marbles, 4 white marbles, and 5 blue marbles. One marble is drawn from the bag.…

A:

Q: 3) A box contains 5 apples and 6 oranges. Four children each receive a fruit from the box, one after…

A: Number of oranges is 6. Number of apples is 5. Number of children is 4.

Q: A jar contains 5 orange, 4 white, and 3 red marbles. Two marbles are drawn without replacement from…

A: Solution

Q: 1. A jar of balls compose of 3 red balls, 2 yellow balls and 5 blue balls. Find the probability of…

A: Given Information: No. of Red balls in the jar=3 No. of Yellow balls in the jar=2 No. of Blue balls…

Q: .A basket contains 4 apples, 3 pears, and 2 peaches. a) From this basket, you select six pieces of…

A: Basket contains 4 apples, 3 pears, 2 peaches=9 fruits.  Probability of selecting 2 apples out of 4…

Q: 1. A full house in poker is a hand where three cards share one rank and two cards share another…

A:

Q: An urn contains 3 red balls and 2 blue balls. A ball is drawn. If the ball is red, it is kept out of…

A:

Q: - A class has 45 students, 8 of those are athletes. 15 students from the class are in gifted…

A: Total students  =45 Number of students who are athletes = 8 Number of students in gifted program =…

Q: A teacher has a bag of marbles. There are 10 red, 10 blue, 8 green, 8 purple, and 8 yellow marbles…

A: Here, drawing marbles is independent event.

Q: An bag contains three white, seven red, and five blue balls. Two balls are randomly drawn. What is…

A: Given: White balls = 3 Red balls = 7 Blue balls = 5 Total number of balls = 3+7+5 =15 (a) Without…

Q: This problem involves inspection at a widget factory. Assume that a box contains 4 defective widgets…

A: The box has 4 defective widgets and 8 acceptable widgets. So total (4+8)=12 widgets Probability of a…

Q: A box contains 3 red, 4 white and 2 green balls. Two balls are drawn out of the box in succession…

A:

Q: 1. A bag contains some jelly beans - there are a total of 7 red jelly beans, 5 green jelly beans, 3…

A: There are a total of 7 red jelly beans,  5 green jelly beans, 3 black jelly beans,           6…

Q: 4. A university is offering two courses, one in Statistics and the other in Mathematics. These…

A: Number of students=300  Number of students in Statistics=85 Number of students im Mathematics=65…

Q: a bag of marbles has 8 green, 10 red, and 5 blue marbles. One marble is drawn from the bag. What is…

A: We have a bag of marbles 8 green, 10 red, and 5 blue marbles.Total we have 23 marbles.

Q: At a state senator rally in Atlanta, there are 20 Republicans, 13 Democrats, and 6 Independents in…

A: Ans:  Repullication = 20 Democrate = 13 Independents = 6 total = 20+13+6=39 Probability of select a…

Q: Example 31. A bag contains 5 green and 7 red balls. Two balls are drawn. What is the probability…

A: Answer:

Q: A treasure chest contains 3 rubies, 4 diamonds, and 2 emeralds. Two jems are drawn out of the chest…

A: Given,no.of rubies=3no.of diamonds=4no.of emeralds=2Total no.of jems=9

Q: a marble from the bag, and then you randomly take another marble from the bag without returning the…

A: To find the probability of taking that the first marble is red and the second marble is blue.

Q: If a box contains 16 red balls, 12 blue balls, and 22 green balls, then what is the probability of…

A:

Q: A card is pulled a deck of cards and noted. The card is then replaced, the deck is shuffled, and a…

A: Total number of ace cards in deck of card = 4 Total number of cards= 52  Probability that first card…

Q: There are 30 marbles in a barrel. Each marble is red, yellow, or blue. There are 9 red marbles and…

A: Probability =Number of favourable outcomesTotal number of outcomes

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.