Suppose you have a jar with 20 marbles. 11 marbles are red, and 9 marbles are blue. You draw marbles one at a time from the jar, without replacing them. What is the probability of drawing a red marble, then a red marble, then a blue marble? Round your answer to at least 4 decimals.

Q: From experience, an airline knows that only 85% of the passengers booked for a certain flight…

A: Given Information :  From experience, an airline knows that only 85% of the passengers booked for a…

Q: At a certain college, 49% of the students are female, and 19% of the students major in civil…

A: Given that Female =49% =0.49 Civil engineer = 19% =0.19 Female and Civil engineer ( both ) = 12%…

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: A department of commerce enrolls 125 students out of which 50 are girls. If 15 girls and 25 boys of…

A: It is given that, A department of commerce enrols 125 students out of which 50 are girls. It means…

Q: About 10% of the population of a large country is hopelessly romantic. If two people are randomly…

A: Independence of Events: Two events A and B with P(A), P(B) > 0, are said to be independent if,…

Q: The HOD asked the professor to show him 4 answer books without "A", The professor complained that he…

A: The probability of the event is,   probability=Number of ways to event occurTotal number of possible…

Q: A poll finds that 72% of Jacksonville consider themselves football fans. If you randomly pick two…

A: According to the provided information, 72% Jacksonville consider themselves football fans. So, the…

Q: In an assembly of 200 people there approximately 2% of them are civil engineers. If we randomly…

A: Givenn=200p=0.02x=no.of people being civil engineersx~Binomial(n=200,p=0.02)P(X=x)=Cxn px (1-p)n-x…

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 large population, 59 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Binomial distribution:It is a discrete probability distribution that has exactly two outcomes for…

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 new superman Mastercard has been issued to 2000 customers. Of these customers, 1500 hold a Visa…

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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: In a large population, 52 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Let p be the proportion of vaccinated people. Given that p = 0.52 Let X denotes the number of…

Q: At a car manufacturing plant, 20% of cars have some sort of defect when they come off the line. If…

A: The Binomial probability distribution is: PX=xnxpx1-pn-x In the formula, n denotes the number of…

Q: A group of people were asked if they owned a dog. 121 responded "yes", and 400 responded "no". Find…

A: According to the provided information, A group of people was asked if they owned a dog. 121…

Q: A fair coin is tossed 25 times. What is the probability that there will be at least 20 heads?

A: Let, X= number of heads  probability of getting a head (success)= p =1/2 =0.5 Probability of…

Q: select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card…

A: A card is randomly selected from well-shuffled standard deck of 52 cards. There are 13 cards of club…

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 Canada, 63% of households speak English as their primary language, and 23% speak French as their…

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Q: In a large population, 55% of the people have been vaccinated. If 3 people are randomly selected,…

A: Let "X" be the people that have been vaccinated.

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: A fair coin is tossed four times. What is the probability of obtaining  A) Exactly one head?

A: The probability of getting head is   Let the R.V X denotes the number of heads and it follows the…

Q: A survey reveals that 20% of the girls are Riphah come from remote areas. If 20 Riphah Girls are…

A: Binomial distribution is discrete distribution that deals with the probabilities of success and…

Q: A bag contains 44 U.S quarters and six Canadian quarters. If seven quarters are randomly picked from…

A: Given that. Total quarters=44+6=50 U.S quarters=44 Canadian quarters=6 Find P(at least 1 Canadian…

Q: A class consists of 23 women and 31 men. If a student is randomly selected, What is the probability…

A: Given data, No of Men=31 No of women=23 Total no of students=23+31= 54 P(Student is man)=?

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: From experience, an airline knows that only 70% of the passengers booked for a certain flight…

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Q: In a large population, 53% of the people have been vaccinated. If 5 of the people are randomly…

A: It is given that n = 5 and p =0.53.

Q: A class consists of 17 men and 65 women. If a student is randomly selected, what is the probability…

A: It is given that Number of men = 17 Total = 17 + 65 = 82

Q: A manufacturer claims that a new drug is 85% effective. If the drug is given to 10 patients, find…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

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 your drawer you have 10 pairs of socks, 6 of which are white. If you reach in and randomly grab…

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Q: 20. Suppose that 21% of people own dogs. If you pick two people at random, what is the probability…

A: Given,The probability people own dogs is 0.21

Q: In a group of 20 students, 7 like ice tea and the others do not. Two students are randomly selected…

A: Given : Total students = 20 Number of students like ice tea = 7 number of students does not like ice…

Q: A bag has 7 fuchsia marbles, 4 teal marbles, 4 purple marbles, and 2 maroon marbles. If you choose 5…

A:

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: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: Note: The number of white balls is considered as 42 and number of gold balls considered as 33. It…

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: In a school of 100 students, 70 students play either football or cricket with 40 students that play…

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Q: A group of people were asked if they owned a dog. 194 responded "yes", and 297 responded "no". Find…

A: Total number of people: 194 + 297 = 491

Q: You pick a letter at random from a 26-letter alphabet. If you pick five letters, with repeating…

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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: In a large population, 40 % of the people have been vaccinated. If 4 people are randomly selected,…

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Q: A box contains 15 green marbles and 16 white marbles. If the first marble chosen was a white marble,…

A: Solution: From the given information, a box contains 15 green marbles and 16 white marbles. Total…

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 that 40% of boys opted for mathematics and 60% of girls opted for mathematics. What is the…

A: Define the events as: B: The student is a boy B' : The student is not a boy (the student is a girl)…

Q: A coin is tossed eight times. What is the probability that the outcome will be eight heads, given…

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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: