A university class has 12 students that are from within the state, 15 students from out of state, and 3 international students. If 2 students are selected at random, what is the probability that only 1 is from within the state?

Q: If two cards are randomly chosen from a standard deck, what is the probability that a 6 is chosen,…

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Q: A customs inspector decides to inspect 3 of 16 shipments that arrive from Madrid by plane. If the…

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Q: Suppose that 46% of people own dogs. If you pick two people at random, what is the probability that…

A: Independent Events:   The events A, B are said to independent if the occurrence of the event A do…

Q: If a poker hand of 5 cards is drown from a deck of 52 cards what is the probability that it will…

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Q: A financial services committee had 60 members, of which 8 were women. If 7 members are selected at…

A: a. The probability that 6 men and 1 woman are selected is 0.4217 and it is obtained below: From the…

Q: If there are 12 people in a room: 3 democratic men, 3 republican men, 3 democratic women, and 3…

A: Given: Total number of people in a room = 12 Democratic men = 3 Republican men = 3 Democratic women…

Q: If a card is chosen at random from a pack of cards, what is the probability that the card is from…

A: From the provided information, Total number of cards in standard deck = 52 Total black cards = 26…

Q: if 14 jurors are randomly selected from a population where 44% are minorities, what is the…

A: Obtain the probability that 2 or fewer jurors will be minorities. The probability that 2 or fewer…

Q: A bag contains 7 red marbles, 4 blue marbles and 5 green marbles. If three marbles are drawn out of…

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Q: In a group of 15 people 5 can speak german. If 3 people are selected at random to be sent on a…

A: Total number of persons = 15 Number of persons who speak German = 5 Sample size = 3

Q: A 3​-card hand is dealt from a standard​ 52-card deck, and then one of the 3 cards is chosen at…

A: Given : n = number of cards in the  hand = 3 x= number heart card in the hand = 1

Q: Suppose that in a class of 100 students, 25 students major in Economics, 30 in Finance, and 45 in…

A: In question, Given that in a class of 100 students, 25 students major in Economics, 30 in Finance,…

Q: 2. Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario…

A: Given Dario puts 44 marbles in a box in which 14 are red, 12 are blue, 18 are yellow.

Q: If an urn has 5 white balls and 10 red balls, what is the probability that 5 randomly selected balls…

A: Given that there are 5 white balls and 10 red balls. Total number of balls is 5+10=15. And 5 balls…

Q: Eight people in the class are left-handed . If there are 32 students in the class, what is the…

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Q: out of 5 computer chips, 2 are defective, if we choose 3 from five compter chips, what is the…

A: Number of computer chips = 5 Number of defective chips = 2 Sample size = 3

Q: From an ordinary deck of 52 playing cards, what is the probability that if 5 cards are to be dealt,…

A: Total no.of cards=52no.of face cards=12

Q: If an urn has 10 white balls and 5 red balls, what is the probability that 4 randomly selected balls…

A: Hypergeometric distribution is given by

Q: Suppose that 49% of people own dogs. If you pick two people at random, what is the probability that…

A: The probability that the people own dogs is 0.49.

Q: A bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. If a marble is randomly selected…

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Q: If out of a population consisting of 40% Hindus, 30% Muslims, 20% Sikhs, and 10% Christians, 10…

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Q: A  class consists of 18 women and 15 men. If a student is randomly selected what is the probability…

A: Given information: Number of women in class is, w = 18 Number of men in class is, m = 15 A student…

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

Q: There are 4 jacks in a standard deck of 52 playing cards. If Patricia selects a card at random, what…

A: There are 4 jacks in a standard deck of 52 cards.

Q: If 5 people get on an elevator which will stop on 9 floors, a) what is the probability that no…

A: Given 5 people get on a elevator which will stop on 9 floors. We need to find probability that no…

Q: A jar contains 60 marbles; 10 red, 22 blue, and 28 green. If one is taken out at random, what is the…

A: Given that Total number of marbles = 60 Number of red marbles = 10 Number of blue marbles = 22…

Q: A hotel has 20 rooms on the first floor, 60 rooms on the second floor, 40 rooms on the third floor,…

A: Probability: The formula for probability of an event E is as follows:

Q: A bag contains 43 black marbles, 84 green marbles, and 73 blue marbles. If a marble is drawn from…

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Q: The athletic department of a school has 16 full time coaches, and 4 of them are female. The director…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A bag contains 5 blue balls, 4 red balls, and 3 orange balls. If a ball is picked from the bag at…

A: Given  5 blue balls, 4 red balls, and 3 orange balls.

Q: What is the probability that a hand of 4 cards contains exactly 3 cards that are the same suit?

A: We have to find given probability ...

Q: What is the probability that, if three identical coins were flipped, all would end up heads? What is…

A: If three identical coins are tossed then the sample space is S = {HHH, HHT, HTH, THH, HTT, THT, TTH,…

Q: A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected…

A: Given data, Red marbles=4 Blue marbles=3 Green marbles=7 Total no of marbles=14 P(Marble is blue)=?

Q: In genetics class, 6 students have green eyes, 3 students have blue eyes, and 11 have hazel eyes. If…

A: In genetics class, 6 students have green eyes, 3 students have blue eyes, and 11 have hazel eyes. If…

Q: If the president and vice-president are selected at random, what is the probability that they are…

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Q: If 9 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that exactly…

A: Solution: A standard deck of 52 playing cards contains 4 kings and 52–4=48 are non-kings. Here, 9…

Q: A bag has 15 red, 15 blue, and 15 yellow marbles in it, what is the probability of drawing 2 red…

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Q: If one card is randomly chosen from a standard deck, what is the probability that a 6 or a diamond…

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Q: In a hospital, there are 11 male patients in ICU, 7 female patients in ICU, 5 male patients in…

A: Given that,  MALE Patients in ICU =11 MALE Patients in Cardiology= 5 MALE Patients in…

Q: In Sipadan, Malaysia, there is a national park where up to 100 dolphins can be found. Suppose we…

A: The total number of dolphins in the park is 100. a. Since the number of female dolphins is 10. The…

Q: If 5 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that at most…

A: Introduction : An ordinary deck of 52 playing cards contain 12 face cards. Remaining 52–12=40 are…

Q: A 3​-card hand is dealt from a standard​ 52-card deck, and then one of the 3 cards is chosen at…

A: Given that only one of the cards in the hand is a queen​.  So 1 card among the 3 cards is a queen.…

Q: There are 22 students, from which 6 people will be selected to be on a panel. If Allen and Joe are 2…

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Q: A bag contains 9 RED beads, 4 BLUE beads, and 8 GREEN beads. If a single bead is picked at random,…

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Q: If 13 cards are drawn from a deck, what is the probability that at least 2 of the cards are hearts?

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Q: You are in a 12-member panel. If two people from the panel are selected to represent the panel, what…

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Q: A classroom has five students wearing glasses and 16 students not wearing glasses. If we randomly…

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Q: A bag contains 3 red marbles, 5 blue marbles and 6 green marbles. If three marbles are drawn out of…

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Q: A bag contains 9 nickels, 4 dimes, and 5 quarters. If you draw 3 coins at random from the bag…

A: The probability of an event is defined as the ratio of  favourable outcomes and total number of…

Q: If 4% of the population is color blind, what is the probability that a group of 30 people, exactly…

A: If 4% of the population is color blind, what is the probability that a group of 30 people, exactly…

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.