Mike has 7 white shirts and 4 blue shirts. He picks 3 of the shirts randomly to stuff in his suitcase for a trip. What is the probability that all 3 shirts selected will be white? What is the probability that all 3 shirts selected will be blue? What is the probability that he will select 2 white shirts and 1 blue shirt?

Q: A team of 4 students is to be chosen for a math contest. It there were 10 male and 8 female students…

A: There are 10 male and 8 female students so total is 18 A team of 4 people is to be formed. The total…

Q: Your friend has 5 yellow hair clips, 2 red hair clips, and 3 blue hair clips. What is the…

A: In question, Given that a friend has 5 yellow hair clips, 2 red hair clips, and 3 blue hair clips.…

Q: There are 5 boys and 8 girls in a room. What is the probability that group of five have more boys…

A: There are 5 boys and 8 girls in a room.  TOTAL 13 people in room here use hypergeometric…

Q: A pet store has 8 ​puppies, including 2 ​poodles, 4 ​terriers, and 2 retrievers. If Rebecka selects…

A: Solution is in step 2

Q: A box1 contains 9 red and 6 black balls. Another box2 contains 4 red and 5 black balls. One ball is…

A:

Q: You pick 4 cards from a deck without replacing the card each time before picking the next card. What…

A: There are 52 cards in a deck and 4 kings are there.  We can pick any 4 cards from 52 cards in 52P4…

Q: Anne has six balloons, one of which contains a prize. She randomly selects one of the balloons to…

A: Anne has six balloons, one of which contains a prize. We need to calculate the probability that…

Q: Beth gets a sum of 5 when she rolls two fair number cubes. What is the probability that one of the…

A:

Q: The king comes from a family of 2 children. What is the probability that the other child is his…

A: Here  Use basic rule of probability and Bayes rule

Q: There are 10 balls in a bag three red for blue to green and one yellow if you flip a coin and draw a…

A:

Q: Suppose you have a bag of marbles that contains 8 blue marbles and 2 yellow marbles. If you select…

A:

Q: A bag contains 10 white as well as black balls. A person draws 6 balls and finds that 3 balls are…

A:

Q: A flower shop is about to close for the day when a customer walks in a hurry and asks for a bouquet…

A: Answer - The shop owner has  12   yellow roses and   13   red roses left after a busy day, Total =…

Q: In a bucket there are 5 purple, 15 gray and 25 green balls. If the ball is picked up randomly, find…

A:

Q: A gumball machine contains 6 red gumballs, 5 blue gumballs, and 4 yellow gumballs. You put a coin in…

A: Given that  A gumball machine contains Red gumballs = 6 Blue gumballs  = 5 Yellow gumballs = 4 Total…

Q: A student has a total of 11 books and 4 of her books are science fiction. If she arranges them on a…

A: Given that there are total of 11 books and 4 of her books are science fiction. The total number of…

Q: A bag has 7 red marbles, 8 blue marbles and 5 purple marbles. Rachel draws a marble from the bag…

A: We have given that bag contains 7 red marbles, 8 blue marbles, and 5 purple marbles, then the total…

Q: 1. A box contains 4 chocobars and 4 ice cream. Tom eats 3 of them one after another. What is the…

A:

Q: Monica has 1 dice and 1 coin. She throws them together in the air.   What is the probability that…

A: There are 6 possible outcomes on a dice. They are, 1, 2, 3, 4, 5, and 6. There are 2 possible…

Q: There are 50 girls and 50 boys at a party, all of whom have written down their names on sheets paper…

A: From the given information we find the probability.

Q: errors per page, on average. What is the probability that on the next page, she will make 4 or more…

A: The mean is given as , μ=2. The formula for Poisson distribution is,PX=x=e-μμxx!. To determine the…

Q: Kareem is going to watch a movie in his collection. He has 3 action movies, 4 comedies, and 5…

A: Given: Number of action movies = 3 Number of comedies = 4 Number of drams = 5   The total number of…

Q: There are 6 marbles in a bag, 1 blue, 1 red, 1 white,1 yellow,1 green, and 1 black. Mary picks one…

A:

Q: A bag containing marbles has 4 red, 5 green and 6 yellow marbles. What is the probability of…

A: Given Data:   n(R)=4 n(G)=5 n(Y)=6   Total=6+5+4=15

Q: Lebo has 3 blue pens,2 red pens,5 black pens and 2 pencils in his pencil case.What is the…

A: Given : Lebo has 3 blue pens,2 red pens,5 black pens and 2 pencils in his pencil case

Q: A bag of jellybeans has 7 red, 12 black, and 14 blue. We select a jellybean, eat it (do not replace…

A:

Q: Reyna has 5 coins worth 10 cents each and 4 coins worth 25 cents each. If she chooses two of these…

A: Let A be the 10-cent coin and B be the 25-cent coin. Number of coins worth 10 cents = 5 Number of…

Q: What is the probability that all 3 cards are Queens?

A: Number of Queen cards = 4 Total number of cards = 52 Define some events A: first card is Queen B:…

Q: Mario has 45 red chips, 12 blue chips, and 24 white chips. What is the probability that Mario…

A:

Q: Tara has two bags of marbles 6 red marbles, 5 blur marbles, and 4 green. the second bag contains 3…

A:

Q: The probability that a student passes Math is 2/3, and the probability that he passes English is…

A: Let M=a student passes MathE=a student passes EnglishP(M)=23P(E)=49P(M∪E)=45

Q: You pick 4 cards from a deck replacing the card each time before picking the next card. What is the…

A: Solution: From the given information, 4 cards are to be picked from a deck.

Q: If one ball is drawn on each bag, what is the probability of getting a green ball and a yellow ball?

A: One bag contains 4 white balls, 3 green balls, and 3 yellow balls.  A second bag contains 2 white…

Q: From a group of 10 choldren, a team of 5 (the red team) is randomly chosen. The remaining 5 children…

A: Given from a group of 10 children, a team of 5 children is randomly chosen. The remaining 5 children…

Q: A group of 15 students made up of 9 females and 6 males form a committee of 5. What is the…

A:

Q: Frank and Joe are planning to have 3 children. What is the probability that Frank and Joe will have…

A: Given: Frank and Joe are planning to have 3 children. Possible outcomes for a child are a Girl or…

Q: If I have a bag with 3 red, 4 white, 1 green, and 2 blue marble. What is the probability that I…

A:

Q: A box contains 3 blue and 2 red marbles while another box contains 2 blue and 5 red marbles. A…

A: Given problem Given that

Q: Harry has 2 blue pens, 2 black pens and 4 red pens in his box. He picks one pen and records it's…

A: 2 blue pens, 2 black pens and 4 red pens _________________ 8 total pens

Q: You are going to randomly choose 2 poker chips from a bag, one at a time, and record the color of…

A: Given, 6 red chips 3 blue chips 7 yellow chips Total = 16

Q: Ana has a team composed of ten juniors and twelve sophomores. What is the probability that a…

A: Given,no.of juniors =10no.of sophomores=12Total no.of team members=22

Q: Kambi has a bag that contains 5 black balls, 3 red balls and 2 blue balls. If he picks 2 balls at…

A: According to the question.  We have 5 black balls , 3 red balls and 2 blue balls. We have to find…

Q: girl draws 6 ribbons at random from a bag containing 5 violet ribbons and 4 yellow ribbons. What is…

A: Given :A girl draws 6 ribbons at random from a bag containing 5 violet ribbons and 4 yellow ribbons.…

Q: the couple plans to have 5 children   How many probable combinations will there be if the couple…

A: Let there are three students X, Y and Z sitting beside each other. The different ways in which this…

Q: A box has 3 red balls and 4 yellow balls. What is the probability of getting two red balls, if you…

A: Solution: From the given information, a box contains 3 red balls and 4 yellow balls. Total number of…

Q: Mrs. Donovan is the coach of a middle school golf team that has 10 golfers. There are 2 sixtgraders,…

A: nx =n!x!(n-x)! Selecting x items out of n items

Q: A couple decided to have 5 children. What is the probability that they will have at least two…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: There are 3 red shirts, 4 blue shirts, 1 black shirt and 2 grey shirts hanging in a closet. What is…

A: Given data, Red shirts=3 Blue shirts=4 Black shirts=1 grey shirts=2 Total shirts=10 P(Not Blue…

Q: A bag contains 6 red and 10 black marbles. If you pick a marble from the bag, what is the…

A: Given data, Red marbles=6 Black marble=10 Total marbles=16   P(Marble is not black)=?

Q: mario has 3 niickels, a dime, and 2 quarters in his pocket. what is the probability that he randomly…

A: Given: Mario has 3 nickels, a dime, and 2 quarters in his pocket. Required: To find the probability…

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.