For a game consisting of three players, the first among them to win 4 rounds will be the winner. The probability any one of them wins a round is 1/3 since they are equally matched. The players are forced to quit after 6 rounds,

Q: Juan has a fair six-sided die, if Juan rolls the die twice in a row, what is the probability that…

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Q: The probability of drawing three non-face cards in a row from a standard deck of cards when the…

A: In a deck of cards, there are 52 cards. There are 12 face cards among those 52 cards.  So (52-12)=40…

Q: A class contains 16 boys and 10 girls of which half of the boys and half of the girls are fat. Find…

A: Given,no.of boys=16no.of girls=10no.of fat girls=8no.of fat boys=5Total no.of students=26

Q: In a group of 25 boys, 20 play ice hockey and 17 play baseball. They all play at least one of the…

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Q: Find the probabilities of getting Three 3s and then a 4 or a 5 in 4 rolls of a balanced die

A: a) since probability of a head on a fair coin is 1/2 therefore due to independence of trials P(eight…

Q: In a shooting game, the probability for Ali to hit a target is , and the probability for Ahmad to…

A: Answer - The probability for Ali to hit a target is   P(A) =  1/2                The probability for…

Q: In a certain game, a player who bets $n either wins $2n (with probability 1/2) or loses the $n. So…

A: Given that, in a certain game, a player who bets $n either wins $2n (with probability 12) or loses…

Q: A fair coin is flipped 8 times. What is the probability of obtaining at least one H?

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Q: In a large hospital, suppose that 35% of patients suffer from disease A, 40% of patients suffer from…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…

Q: If two cards are selected from a standard deck of 52 cards and are not replaced after each draw,…

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Q: If 3% of the electric bulbs manufactured by a company are defective, find the probability that in a…

A: Given: Proportion if defective bulb =0.03 Number of bulbs (n) =100 In this question we will use…

Q: A jar contains green wrapped candies and yellow wrapped candies.  A person selects two wrapped…

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Q: Suppose I toss a fair coin, and the first toss comes up heads. If I keep tossing the coin until I…

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Q: A couple decides to continue to have children until they have two males. Assuming that P(male)=0.4,…

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Q: In a group of 25 boys, 20 play basketball and 17 play baseball. They all play at least one of the…

A: Let, A=basketball B=baseball Given that: n(A)=20 n(B)=17 n(A or B)=25 So, n(A and B)=n(A)+n(B) - n(A…

Q: In a large city, 8% of the inhabitants have contracted a particular disease. A test for this disease…

A: Assume, D=have disease Dc= do not have diseasep= postive n= negativeGiven:…

Q: A small town has one fire engine and one ambulance available for emergencies. The probability that…

A: Given: Event A= Fire engine is available Event B=Ambulance available  Both A and B are independent.…

Q: In a casino game, two balls are chosen randomly from a box containing 8 white, 4 black, and 2 orange…

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Q: The probability that a student owns a CD player is 3/5. If eight students are selected at random,…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: A group of students is surveyed and 55% of the group is from Midland and 40% of the group like…

A: According to the provided data, the probabilities are;

Q: A couple decides to continue to have children until they have two males. Assuming that P(male) =…

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Q: At a fast-food restaurant, 60% of the patrons order a burger. Of those ordering a burger, 40% also…

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

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Q: In a weather report, it is reported that 3 days out of each week will rain. (a) Dalai In 8…

A: It is reported that 3 days out of each week , it will rain which means 4 days out of each week , it…

Q: A shop has 72 customers in two hours . What is the probability that at most three customers will go…

A: There are 72 customers in 2 hours (120 minutes). So, average number of customers in a minute =…

Q: In a recent survey, 60% of the community favored building a health center in their neighborhood. If…

A: Given that,60% of the community favored building a health center in their neighborhood.Probability,…

Q: In a football match, suppose that the probability of Team A winning is 0.3, Team B winning is 0.5…

A: 3. The probability of Team A winning is 0.3, probability of Team B winning is 0.5, and the rest is…

Q: In a certain examination, 80% of the candidates pass English and 75% pass French, whereas 15% fail…

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Q: In a certain examination, 80% of the candidates pass English and 75% pass French, whereas 15% fail…

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Q: The probability that Sam parks in a no-parking zone and gets a parking ticket is 6%, and the…

A: The probability is used to calculate the probability of an event occur. Let A be the event, the…

Q: Suppose a group of students take an influenza test and 96% of the students test positive. What is…

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Q: In a certain community, 36 percent of families own a dog, and 30 percent of families own a cat. What…

A: A = families own a dog B= families own a cat  P(A)=36%=0.36 P(B)=30%=0.30

Q: A box has 18 blue hats and 30 red hats. If you pick 2 hats without replacement, what is the…

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Q: If a die is rolled one time, what is the probabilities of each outcome: a. getting a number greater…

A: GivenA die is rolled one timethen the outcomes are{1,2,3,4,5,6}Total no.of outcomes = 6

Q: . In testing a florescent light bulb, it is found that 20% of the light bulb fail to complete the…

A: Note: Hey, since multiple questions are posted, we will answer first question for you. If you want…

Q: Find the probability that either a 6 or 7 will be obtained in one toss of a pair of dice.

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Q: In a game of Jack n Poy, the player that wins 3 times out of 5 games is declared the winner. suppose…

A: Jack n Poy is a game performed by two players. Here, P(winning one time) = 1/2.

Q: In the game of Monopoly, a player is sent to jail if he or she rolls doubles with a pair of dice 3…

A: In a game of monopoly, player is sent to jail if he or she rolls doubles with a pair of dice 3 times…

Q: In a game of Jack n Poy, the player that wins 3 times out of 5 games is declared the winner, suppose…

A: Binomial distribution: The probability mass function (pmf) of a binomial random variable X is given…

Q: A debating team of size 4 is to be randomly selected from 3 academic staff and 6 students. The…

A: We have to select a team of size 4 from the 3 academic staffs and 6 students and we have to find the…

Q: In a large population, 53% of the people have been vaccinated. If 3 people are randomly selected,…

A: In a large population, 53% of the people have been vaccinated. i.e. Probability that the people have…

Q: d. There were 27 tourists in the group and every tourist saw at least one of the three types of…

A: From part a, we have

Q: A salesman is known to sell a product in 3 out of 5 attempts while another salesman in 2 out of 5…

A: Let, A be the first salesman is known to sell the product in 3 out of 5 attempts. B be the second…

Q: In an NBA championship series, the team which wins four games out of seven will be the winner.…

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Q: At a college, 68 % of courses have final exams and 43 % of courses require research papers. Suppose…

A: At a college, 68% of courses have final exams and 43% of courses require research papers. Suppose…

Q: In a large population, 71 % of the people have been vaccinated. If 5 people are randomly selected,…

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Q: A pair of fair dice is rolled and the sum of the numbers is noted. Determine the probability that…

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Q: In a recent survey, 60% of the community favored building a health center in their neighborhood. If…

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Q: Suppose you roll the dice repeatedly, and you will keep flipping it until you observe two total…

A: According to the provided information, roll the dice repeatedly, and keep flipping it until observe…

Q: When treated with anabiotic 92% of all the Dolphins are cured of an ear infection. If six Dolphins…

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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.