Of the 41 plays attributed to a​ playwright, 12 are​ comedies, 12 are​ tragedies, and 17 are histories. If one play is selected at​ random, find the odds against selecting a tragedy. The odds against selecting a tragedy are

Q: Suppose an urn contains 12 balls, with 7 red and 5 black. If you randomly select 4 balls without…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: If three cards are randomly selected in a deck of 52 cards, what is the probability of selecting the…

A:

Q: If three cards are drawn without replacement from a​ deck, find the probability that the third card…

A: Consider, Probability of first card being queen = 4/52 Probability of selecting second card 5 = 4/51…

Q: Of 10 egg cartons, 9 contain 10 good eggs and 2 bad ones, while the tenth carton contains 2 good and…

A: Given: Number of cartons = 10 9 cartons Number of good eggs = 10 Number of bad eggs = 2 10th carton…

Q: The mathematics faculty at a certain college consists of 10 full professors, 6 associate professors,…

A: From the given information, thee are  10 full professors 6 associate professors 12 assistant…

Q: a 50 member club will elect a president and then a vice president from their membership. how many…

A: Given: The total number of members is 50

Q: If 14% of active duty soldiers in the U.S. Army are women. Find the probability that none of the…

A: Let X be the number of women soldier in U.S army from binomial distribution with probability (p)=…

Q: Suppose that a school has 10 courses offered, 3 of which are engineering major, 5 are philosophy…

A: The number of ways in which r different items can be selected from n different items is given by Crn…

Q: A pack contains 4 blue, 2 red and 3 black pens. If 2 pens are drawn at random from the pack, NOT…

A: Given a pack contains 4 blue, 2 Red and 3 black balls.

Q: A sales representative must visit five cities and, since direct air connections exist between each…

A: Given data,  5 cities⇒This series  of 5 events.     the first  city visited     the second city…

Q: If two states are selected at random from a group of 20 states, determine the number of possible…

A:

Q: From a city population, the probability of selecting (i) a male or a smoker is 9/10, (ii) a male…

A:

Q: Of the cartons produced by a​ company, 7​% have a​ puncture, 4​% have a smashed​ corner, and 1.1​%…

A: It was stated that the cartons produced by a​ company, 7​% have a​ puncture. The cartons produced by…

Q: what are the odds against the paper for having the letter M written on it State your answer as a…

A: HERE from given information  All 11 letters from the word Mississippi are written on individual…

Q: In a certain town, 21% of people commute to work by scooter. If a person is randomly selected from…

A: Formula for Odds in against: Odds Against=1-Odds against Favor.

Q: In a class of 40 students, there are 20 girls and 20 boys. Eight are A students, and three of these…

A:

Q: From a group of seven people, two individuals are to be selected at random. How many selection are…

A: A group of seven people. Two individuals are to be selected at random.

Q: If a number is selected at random from the first 50 natural numbers, what will be the probability…

A:

Q: Assume that there are 9 pairs of shoes in a closet. How many single shoes must you choose at random…

A: Suppose the first shoe is chosen at random and after that 8 different shoes are chosen. Then the…

Q: A bag contains 56 marbles: 7 red, 8 green, 11 yellow , 17 brown , and 13 blue. If a marble is chosen…

A: A bag contains 56 marbles : 7 red , 8 green , 11 yellow , 17 brown  and 13 blue .

Q: One household is to be selected at random from a town.

A: One household is to be selected at random from a town.   The probability that the household has a…

Q: A set of 8 cards contains 1 joker. A and B are 2 players and A chooses 5 cards at random, B taking…

A: From the provided information, Total cards = 8 Total number of ways in which A could select any of…

Q: In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and…

A: Given that there are 100 students. The number of students studied mathematics is 54. The number of…

Q: Find the probability of the first marble being green and the second marble being yellow.

A: A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. total 11…

Q: If each coded item in a catalog begins with 3 distinct letters followed by 4 distinct nonzero…

A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…

Q: A bag contains six batteries, all of which are the same size and are equally likely to be selected.…

A: Given: A bag contains six batteries all the same size and equally likely to be selected. Each…

Q: Suppose there are 14 men and 6 women in an office. A CEO randomly selects 5 workers from the office…

A:

Q: A club at CBC has 6 History Majors, 5 English Majors, and 8 Psychology Majors. If a committee of 3…

A: It is given that there are 6 History, 5 English, and 8 Psychology Majors. Thus, Consider that n is…

Q: A survey of 305 adults found that during the last year, 75 traveled by plane but not by train, 75…

A:

Q: Suppose a dog has a litter of 13 puppies. Of those 13 puppies, 5 are brown, 4 are white, and the…

A: Ans#-Givan, A dog has a litter of 13 puppies. Of those 13 puppies, 5 are brown, 4 are white, and…

Q: In a certain town, 60 percent of voters are in favor of a given ballot measure and 40 percent are…

A: Given data:  60% = voters are in favor of a given ballot measure 40%  = voters are opposed. For…

Q: Suppose that 68% of people own dogs and suppose you pick two people at random. find the probability…

A: From the given information, the percent of people own dogs is 68% and the number of selected people…

Q: expected winnings

A: (As per bartleby guidelines, for multiple questions asked, only the first question will be solved.…

Q: The physics department of a college has 10 male professors, 6 female professors, 13 male teaching…

A: Given that, Number of male professors = 10 Number of female professors = 6 Number of male teaching…

Q: A professor is randomly choosing a group of three students to do an oral presentation. In her class…

A: The total number of ways by which 3 students can be selected from the group of 15 students are given…

Q: You have a bag of 1 gold coin, 2 red coins and 3 blue coins and you can only select two at random to…

A: Given that the bag contains 1 gold coin, 2 red coins and 3 blue coins. And two coins are selected at…

Q: A survey of 275 adults found that during the last year, 70 traveled by plane but not by train, 40…

A: Introduction:Denote the following events for the different modes of travel:P: Plane,T: Train,B:…

Q: In order to conduct an​ experiment, 5 subjects are randomly selected from a group of 50 subjects.…

A: According to the provided information, 5 subjects are randomly selected from a group of 50 subjects.…

Q: If 3 books are picked at random from a shelf containing 4 novels, 3 books of poems and a dictionary.…

A: According to the provided information, 3 books are picked at random from a shelf containing 4…

Q: A CD case contains 10 jazz albums, 4 classical albums, and 2 soundtracks. Choose 3 at random to put…

A:

Q: If you have a study in which 40 participants are randomly assigned to one of the four groups, the…

A: Given data,Number of participants N=40Number of groups       k=4 dfbetween =?

Q: Suppose that a district consists of 100 female voters and 200 male voters. If a group of ten voters…

A: Given problem Given that   Suppose that a district consists of 100 female voters and 200 male…

Q: classroom contains 71 students. 10 of them are Chinese, 24 are Japanese and 37 are Filipinos. If…

A:

Q: A bag contains pieces of 6 different types of candy. If the bag has 85 pieces in total, how many…

A: Explanation:Here givens the 85 prices 6 types of different candys and finally how much randomly…

Q: If two marbles are drawn without replacement from a bag containing 1 blue marble, 2 white marbles, 3…

A: 2 marbles are drawn without replacement from a bag containing 1 blue marbles 2 white marbles 3 green…

Q: Of seven coastal lighthouses in the same area, three are designed by a certain well-known architect.…

A: Probability The term "probability" refers to the possibility of something happening. Researchers can…

Q: The mathematics department of a college has 8 male professors, 11 female professors, 14 male…

A: Given: The mathematics department of a college has,             Male professors: 8            Female…

Q: If two states are selected at random from a group of 10 states, determine the number of possible…

A: With replacement, the first choice would be any of the 10 and so would the second. For this do…

Q: A GROUP OF COLLEGE STUDENTS WERE ASKED ABOUT THERE TV WATCHING HABITS. OF THOSE SURVEYS 26 WATCHED…

A: Formula for three overlapping sets: n(A ∪ B ∪ C) = n(A) + n(B) + n(C) – n(A ∩ B) – n(A ∩ C) – n(B ∩…

Q: The mathematics department of a college has 6 male​ professors, 11 female​ professors, 10 male…

A: According to the given information, we have   Professors Teaching assistants Total Male 6 10 16…

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.