There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin that comes up heads 75 percent of the time. When one of the three coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin?

Q: If 5 cards are dealt from a standard deck of 52 cards, what is the probability that 3 are red and 2…

A: Given information: 5 cards are dealt from a standard deck of 52 cards. Need to find the probability…

Q: What is the probability that any two peas aregreen and two are yellow in a pea pod with exactly four…

A: For each pea, there are 2 options green and yellow.  Let us denote G=green and Y=yellow So the…

Q: In a random group of 5 individuals, what is the probability that at least two of them have the same…

A: We have given that the group of 5 individuals.

Q: If one card is randomly chosen from a standard deck, what is the probability that a 5 is chosen,…

A: A pack of cards contains 52 cards in total with 13 Spades, 13 Diamond, 13 Hearts & 13 Clubs.

Q: If one card is randomly chosen from a standard deck, what is the probability that a black 7 is…

A: Introduction: Suppose an experiment has a total of n mutually exclusive and exhaustive outcomes. If…

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

A:

Q: In a science class of 35 students, 15 are boys and 20 are girls. On a unit test, 5 boys and 8 girls…

A: We will use probability formula to find solution to the problem .

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

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

A:

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: If you pick one card at random from a standard deck of 52 cards, what is the probability it will be…

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Q: If 5 persons are to be seated in a round table, what is the probability that a certain boy and girl…

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Q: In a math class of 30 students, 17 are boys and 13 are girls. On a unit test, 4 boys and 5 girls…

A: Given,no.of boys=17no.of girls=13total no.of students=30

Q: In Noura's art class, 1 out of 5 paintings that she makes will be chosen for an art show. If she is…

A: Note:  Hi there! Thank you for posting the question. As your question has 2 different values,  text…

Q: In a town of 5000 people, 1000 are over 60 years old and 2000 are female. It is known that 40% of…

A: Given: Total People in town=5000Number of people over 60=1000Number of females=2000Number of female…

Q: In a particular class, there are 12 freshmen, 6 sophomores, 4 juniors, and 2 seniors. If the…

A: Given,no.of freshmen=12no.of sophomores=6no.of juniors=4no.of seniors=2total no.of students =24

Q: 4. The Traffic Violations Department receives 5 violations per hour, find the probability that it…

A:

Q: Mr. Moreland is having trouble keeping track of his marbles. He thinks he has six purple marbles,…

A: From the provided information, Total purple marbles = 6 Total red marbles = 5 Total blue marbles = 3…

Q: 7 people, including Dexter and Darwin, have put their name in a lottery to win free bagels. If 4…

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

Q: Select one card from a deck of well-shuffled cards. What is the probability that we draw an Even…

A: A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A), 2,…

Q: In a second grade class containing 14 girls and 11 boys, 2 students are selected at random to give…

A:

Q: 90 students, including JB and Jane, are to be split into three classes of equal size, and this is to…

A: The number of student in the class is 90. Number of parts the class is divided is 3.

Q: If an urn has 5 white balls, 10 red balls, and 6 green balls, what is the probability that 4…

A:

Q: A jar contains four red marbles, five green marbles, and three blue marbles. If one marble is…

A:

Q: In a certain high school, 20% of the students belongs to the math club, 10% belongs to the student…

A: here define events student belongs to math club = M student belongs to council = C p(M) = 0.20  p(C)…

Q: If a single die is rolled seven times, what is the probability it lands on 3 on the second, third,…

A: A single die is rolled seven times.Probability that a die rolled will land on three = 1/6Probability…

Q: you flip three fair coins, what is the probability that you'll get a head on the first flip, a tail…

A: We want to find probability

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: 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: Students who have qualified for a scholarship include students from Fayetteville High​ School, from…

A:

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 four-person committee is randomly selected from a pool of 19 Americans and 131 Canadians. What is…

A: Given: Number of Americans =19 Number of Canadians =131

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

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Q: A 2​-card hand is dealt from a standard​ 52-card deck, and then one of the 2 cards is chosen at…

A: Given information: Total number of cards in the deck = 52 Total number of diamonds in the deck = 13…

Q: A four-person committee is randomly selected from a pool of 19 Americans and 13 Canadians. What is…

A: No.of Americans = 19  No.of Canadians  = 13 Total no.of persons = 32 (i.e. 13+19) Consider that…

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: If a card is chosen at random from a box of playing cards, what is the probability that it is less…

A: Given : Acard is chosen at random from a box of 52 playing cards, and we have tp find probability…

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

A:

Q: If a fair coin is tossed 8 times, what is the probability of tossing a head on the 8th toss, given…

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Q: if three balls are drawn at random, what is the probability that at least one of them is blue?

A: Three balls are randomly drawn from the box.The probability of at least one of them is blue can be…

Q: If three coins are​ flipped, what is the probability of obtaining at least one head​?

A:

Q: In a small private​ school, 4 students are randomly selected from 14 available students. What is the…

A: Solution: Total number of available students n = 14 r =4

Q: If two coins are tossed,what is the probability obtaining at most one head?

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Q: A girl has five die, two of which are four-faced, one is eight-faced and two are six-faced, all…

A: two are four faced so number of faces is 8 of which there are two 3s one is eight faced so number of…

Q: If a fair, six-sided die is rolled twice, what is the probability it will land on 1 and then 6?

A: If a fair, six-sided die is rolled twice, what is the probability it will land on 1 and then 6…

Q: are selected at random, what is the probability that the majority of the committee members are…

A: here  from given information, total 20 member  12 are teachers and 8 are students here 5 members are…

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: Suppose you toss a coin (heads or tails) three times. If the coin is fair, what is the probability…

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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…

A:

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.