Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, four green ones, five white ones, and three purple ones. She grabs five of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She has two red ones and one of each of the other colors.

Q: In a group of 40 people, 10 are healthy and every person the of the remaining 30 has either high…

A: Given  Number of total people = 40 Number of health person = 10  Number of people has high BP or…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A:

Q: A salesman finds he can make one sale for every four calls he makes. If he makes five sales calls,…

A: Let, X=the number of sales he makes n=number of trials= 5 p=probability of success= 1/4=0.25 X…

Q: If the probability of having green eyes is 15%, the probability of having a brown hair is 70%, and…

A: Let G represents the green eyes And B represents the brown hair So P(G)= 15% = 0.15 P(B)= 70% = 0.70…

Q: If 58% of the people at a certain conference are doctors, 38% are men, and 18% are male doctors,…

A: Given If 58% of the people at a certain conference are doctors, 38% are men, 18% are male doctors,

Q: If a teacher calls on a student randomly to answer a question, what is the probability the student…

A: Given : In a certain class of students, there are 9 boys from Morrow, 6 girls from Stockbridge, 10…

Q: The guidance department has reported that of the senior class, 2.3% are members of key club, K, 8.6%…

A: Given that      P(K)  = 2.3%  = 2.3/100     P(P)    = 8.6%  = 8.6/100   P(K and P)  = 1.9%  =…

Q: Given that a 5 - card poker hand is dealt from a standard deck of 52, find the probability that you…

A: Given that  5 cards are dealt from a deck of 52 cards.

Q: Bag A contains 2 red, 7 black, and 6 white balls, and bag B contains 4 red, 6 black, and 8 white…

A: Bag A contains 2 red, 7 black, and 6 white balls, and bag B contains 4 red, 6 black, and 8 white…

Q: There are 12 chocolate cakes, 18 cheesecakes, and several cream cakes in a refrigerator. If the…

A:

Q: You draw two cards from a standard deck of 52 cards, but before you draw the second card, you put…

A:

Q: Bag A contains 2 red, 5 black, and 4 white balls, and bag B contains 4 red, 4 black, and 6 white…

A: There are 2 bags. So the probability of drawing each bag is 12.So, P(A)=P(B)=12Let us denote…

Q: Tom,Dick and Harry have three deck of cards.If each of them pick one card from their own deck at…

A: In each deck of 52 cards, there are 4 aces. So the probability of picking a ace is= 4/52 =1/13

Q: A B C Number of boys 6 5 3 Number of girls 10 3 1 Given that a student is not chosen in group A,…

A: iven Information   A B C Total Number of boys 6 5 3 14 Number of girls…

Q: The results of a recent television survey of American TV households revealed that 83 out of every…

A: Given that out of 100 TV households,83 households have a remote control.We have to find the…

Q: Taryn has 15 soccer trophies but she only has room to display 9 of them on a shelf. If she chooses…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment. It…

Q: Bag A contains 4 red, 6 black, and 6 white balls, and bag B contains 4 red, 4 black, and 6 white…

A: There are two bags A and B . A bag is selected and a ball is drawn . We have to find the probability…

Q: If you throw a single die twice, what's the probability of first getting a 3 and then getting…

A:

Q: A cooler has 12 bottles of water, 8 bottles of juice, and 5 bottles of soda. If Randy selects a…

A: The number of water bottles, W=12The number of juice bottles, J=8The number of soda bottles,…

Q: A basket contains 6 apples, 5 bananas, 4 oranges, and 5 guavas. Dominic randomly chooses one piece…

A: Given that a basket contains  6 Apples 5 Bananas 4 Oranges 5 Guavas

Q: The results of a recent television survey of American TV households revealed that 90 out of every…

A:

Q: In a Pinochle deck, each of the four suits (hearts, diamonds, spades, and clubs) has two BI Queen,…

A: In a Pinochle deck, each of the four Suits (hearts, diamonds, spades, and clubs) has two of each of…

Q: In a class of 10 students there are 4 boys and 6 girls. If a committee of 3 students is selected…

A:

Q: If you have a drawer that holds 5 black t-shirts, 10 blue t-shirts, and 7 white t-shirts, what is…

A: Solution: It is given that a drawer holds: 5 black t-shirts 10 blue t-shirts 7 white t-shirts…

Q: Given a family with three children, find the probability of the event.   The youngest is a girl​,…

A: To calculate the  required conditional probability

Q: Suppose in the video game Harry Potter Returns, each time you kill a dragon there is a 10% chance…

A: Introduction: For a person who has played the game and killed 100 dragons, denote X as the number of…

Q: The guidance department has reported that of the senior class, 2.3% are members of Key Club, K, 8.6%…

A: P (P ∩ K) = 1.9 % P (P) = 8.6 % P (K) = 2.3 %

Q: In Bayside County, 45% of voters are registered Democrats. If three voters are selected at random,…

A: Given, P = 0.45 n = 3 x = 3 Here we use binomial distribution

Q: Neil has a collection of 8 dice, 5 of which have four sides. If Neil randomly rolls 4 dice, what is…

A:

Q: At a certain college, there were 600 science majors, 200 engineering majors, and 400 business…

A: It is given that the number of science majors is 600, the number of engineering majors is 200 and…

Q: In a particular class, 78% of the students have a smartphone, 38% have a smartphone and a tablet,…

A: GivenPercent of students have a smartphone = 78%percent of students have a smartphone and a tablet =…

Q: In a group of dogs, 20 dogs are poodles and 30 dogs are beagles. If a dog is selected at random,…

A: We want to find the probability a beagle is selected

Q: If Bart can make only 40% of free throws in a basketball game, what is the probability that he will…

A: Sample size = 3 Probability = 40% = 0.40

Q: In a standard deck of cards, what is the probability that a card from each suit will be obtained if…

A: In a standard deck of card, there are total of 52 cards. Among 52 cards, there are 4 suits. Each…

Q: An Elementary school club has 6 boys and 8 girls. If a committee of 5 officers is selected, find the…

A: Total number of committees possible=C145=2002 PExactly 3 girls=No of committees containg exactly 3…

Q: Kareem Abdul Jabbar and Larry Bird are very different when it comes to making free throws.  A sports…

A:

Q: With the throw of two dice, what is the probability that the sum will be a prime number?

A:

Q: Suki is enrolled in one data-management class at her school and Leo is in another. A school quiz…

A:

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: There are 52 cards in a deck of cards. Among them 13 cards are diamond.We can pick any card in…

Q: In a family of eight children, what is the probability that (a) the third child is a girl? (b) six…

A: It was stated that in a family there are eight children. Need to find the probability of the…

Q: At a local high school, the 40% of the students drink soda regularly, 30% drink coffee regularly,…

A: 28.  Let S - drink soda regularly S - coffee soda regularly Given:  P(S) = 0.40,  P(C) = 0.30  and…

Q: As shown above, a classic deck of cards is made up of 52 cards, 4 suits with clubs and spades black…

A: Introduction: In the given image, the cards belonging to the suit “clubs” are displayed in the first…

Q: F- Female $688 G- Male $1000 H- Male $892 1. Ifall the salaries were written on separate pieces of…

A: (1) Obtain the probability that the one that drawn is over $650. The probability that the one that…

Q: A cube has 2 faces painted red, 2 painted white, and 2 painted blue. What is the probability of…

A: Given: Red Painted =2 White Painted = 2 Blue Painted = 2 Total Faces of cube = 6

Q: Find the probability the service was poor, given that the meal was dinner.

A: The conditional probability formula is, PA|B=PA∩BPB The probability that the person is divorced…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: Step:- 1 Number of card of 4 =4 Number of card of 9 =4 Number of card of 4 and 9 =4+4=8 that is,…

Q: If you randomly select a letter from the phrase "I like to swim at the Recreation Pavilion," what is…

A: The given phrase is "I like to swim at the Recreation Pavilion." The objective is to find the prob.…

Q: Two six-sided dice were rolled, and a friend tells us that the numbers that came up were identical.…

A: Given information- We have given that two six-sided dice were rolled. We have also given that the…

Q: In a class of 20 students, 12 study Biology, 15 study History and 2 students study neither Biology…

A: In a class there are 20 students, in which neither of the students study biology and history is 2.…

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.