In a game of poker, 5 cards are drawn from a pack of 52 well-shuffled cards. What is the probability that one is dealt with 4 aces? * 1/41,154 1/45,514 1/54,451 1/41,145

Q: 5 people are chosen randomly from 4 women and 5 men to participate in an event.  What is the…

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Q: A coin is loaded so that the probability of a head occurring on a single toss is 23. In four tosses…

A: here we will use Binomial distribution   A binomial distribution is simply the probability of a…

Q: A card is chosen at random from a deck of 52 cards. It is then replaced, the deck reshuffled and a…

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Q: There are 65 students going on a soccer trip. 43 are soccer players, 12 are left handed, 5 of the…

A: Total students  = 65 S : Number of soccer players  = 43 L : Left handed = 12 L and S : Left handed…

Q: 4. Among the contestants in a competition are 42 women and 28 men. If 4 winners are randomly…

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Q: In a horse race, a field could have 30 horses, 5 of them are white horses. The first, second and…

A: The term probability is defined as the chance of occurrence of an event. The probability value lies…

Q: Four cards are drawn at random from a standard deck of 52.  What is the probability that at least 3…

A: The probability of red cards =p= 26/52  p = 0.5 n= 4

Q: Suppose you are dealt thirteen cards without replacement from an ordinary deck of cards. What is the…

A: Given: The thirteen cards are dealt without replacement from an ordinary deck of cards. The…

Q: A box contains 2 red balls, 4 white balls and 6 blue balls. If a ball is drawn at random from the…

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Q: A postman has to deliver five letters to five different houses in a street. Unfortunately, the rain…

A: Probability is a branch of mathematics which is basically deals with the chances of happening an…

Q: What is the probability that the committee contains at least 6 women?

A: Seven people are chosen from 32 men and 26 women. here total = 32+26 = 58 here use hypergeometric…

Q: what is probability that a PIN number is 4 consecutive digits

A: The numbers  0,1,2,3,4,5,6,7,8,9 can be used for 4 digit  PIN  number. There are 10 choices  for 1st…

Q: Suppose five cards are randomly selected from a standard deck of 52 cards. What is the probability…

A: Given that: Five cards are randomly selected from a standard deck of 52 cards. Required: To find the…

Q: If a baseball player has a batting average of 0.275​, what is the probability that the player will…

A: Givensample size(n)=4p=0.275p+q=1q=1-p=0.725Let x be a random variablex~Binomial (n,p)Accoding to…

Q: Three balls are selected at random from a bag containing 2 red, 4 orange and 3 green balls. What is…

A: Given,no.of red balls=2no.of orange balls=4no.of green balls=3Total no.of balls=9

Q: A manufacturing machine has a 4% defect rate. If 4 items are chosen at random, what is the…

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Q: An animal shelter has a 65% adoption rate for puppies. Of all puppies in the shelter, 75% live to be…

A: Given: Animal shelter has a 65% adoption rate for puppies. 75% of puppies that remain in shelter…

Q: In a box, there are 6 red balls and 7 blue balls. Two blue balls are drawn in the first and second…

A: Answer- In a box, there are 6 red balls and 7 blue balls. Total = 7 + 6  = 13 balls.…

Q: Assume that a particular professional baseball team has 10 ​pitchers, 5 ​infielders, and 13 other…

A: The baseball team has 10 ​pitchers, 5 ​infielders, and 13 other players. Thus, total number of…

Q: A box contains 25 balls, 15 green and 10 red balls. Two balls are picked up, what is the probability…

A: Solution: From the given information a box contains 15 green and 10 red balls. Here, two balls are…

Q: A bag contains 16 balls – 4 red, 7 green, 3 yellow, and 2 blue.  Four balls are selected. What is…

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Q: In a box, there are 3 fair coins, 2 special coins with heads on both sides and 5 special coins with…

A: In a box, there are 3 fair coins, 2 special coins with heads on both sides and 5 special coinswith…

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

A: Given information is: In an NBA championship series, the team which wins four games out of seven…

Q: There are 5 defective light bulbs in a set of 100 units. What is the probability that three bulbs…

A: We have to find given probabaility.

Q: A bowl contains 3 red chips and 4 white chips. Three chips are drawn from the bowl. What is the…

A: Given Information: There are 3 red chips and 4 white chips. Three chips are drawn from the bowl. The…

Q: A company has 5 stores in New York and 6 stores in Chicago. Three of the stores are randomly…

A: We have given that 5 stores in New York and 6 stores in Chicago.   We know that, Combination…

Q: A manufacturing machine has a 5% defect rate. If 4 items are chosen at random, what is the…

A: here 5% defect rate so 0.05 and 4 items chosen so put 4 in power

Q: A bag contains 20 marbles, of which 3 are blue and 7 are green. One marble is drawn from the bag.…

A: Given Total number of marble=20 Number of blue marble=3

Q: What is the probability that 3 are Green and 2 are Red?

A: It is given that  Green marbles = 7 Red marbles = 4 Total marbles = 11

Q: Suppose that you have a barrel with 7 apples and 8 oranges in it. If 2 fruits are selected, what is…

A: use formula : nCr=n!/(r!*(n-r)!)

Q: manufacturing machine has a 6% defect rate. If 6 items are chosen at random, what is the…

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Q: An animal shelter has a 65% adoption rate for puppies. Of all puppies in the shelter, 72% live to be…

A: Let us denote A= a puppy gets adopted  B= lives 7 years or older given that  P(A)=65%=0.65 P( B | A'…

Q: A box containing 5 red balls, 4 white balls and 3 blue balls, a ball is selected randomly, its color…

A: Solution: 21. From the given information, a box containing 5 red balls, 4 white balls and 3 blue…

Q: An accounting firm has recently recruited six graduates: three men and three women. Three of the…

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Q: suppose all five bags are mixed together. What is the probability that a random selected piece is…

A: From the given data table   n( Green and Welch's brand)=6   Total number of pieces=66

Q: A gambler places a bet on a horse race. To win, he must pick the top three finishers in order. Six…

A: Here Given  Total no of Horse= n= 6

Q: In an average year in Las Vegas, there are 5 fires. a. What is the probability that there'll 8 fires…

A: Given problem Given that   a)

Q: A homeowner selects six plans selected at random from a set of proposals drawn by his hired…

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Q: What is the probability that the 3 CDs are 2 jazz and 1 classical?

A: Three CDs are drawn randomly in succession without replacement . In  collection consisting of 5…

Q: A supermarket manager knows that an average of four persons will pass through the checkout line…

A: It is given that A supermarket manager knows that an average of four persons will pass through the…

Q: There are 65 adults and 15 children in a movie theater. Of these people, 41 adults and 6 children…

A: Given: Number of adults=65Number of children=15Total person who bought popcorn=47n=80 The…

Q: What is the probability that you draw 4 green marbles in a row if you do replace the marbles after…

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Q: Two cards are drawn at random from a deck of 52 cards without replacement. What is the probability…

A: Total number of cards = 52 Number of 2's = 4 Number of Ace = 4

Q: In a class of 120 students, 45 students are taking Mathematics. Moreover of the 50 male students in…

A: Given Information: Total number of students = 120 45 students are taking Mathematics. Male students…

Q: A stack of  9   red cards and   14   green cards is shuffled and placed on a table. The cards are…

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Q: What is the probability that 3 face cards (king, queen, jack) can be drawn in succession from a deck…

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Q: A bag contains twenty casino chips which are used to represent cash. Five chips have a value of $10…

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Q: A manufacturing machine has a 7% defect rate. If 4 items are chosen at random, what is the…

A: Given Data: The defect rate of the machine is: p=7% The number of chosen items is: n=4   The…

Q: 8. In a college graduating class of 100 students, 54 studied mathematics, 69 studied history, and 35…

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Q: nufacturing machine has a 9% defect rate. If 7 items are chosen at random, what is the probability…

A: This is the case of binomial, as there are only two possible outcomes that are independent and where…