A box consists of five green balls, three black balls and seven red balls. Two balls are selected without replacement from the box. (a) What is the probability that both balls are the same color? (b) Given that both balls are the same color, what is the probability that they are black?

Q: A baseball player hit 64 home runs in a season. Of the 64 home runs, 21 went to right field, 21 went…

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Q: The sex ratio of newborn human infants is about 105 males: 100 females. If four infants are chosen…

A: Solution: Given data Number Of males = 105 Number Of females = 100 Total = 105 + 100            =…

Q: A deck of cards contains 24 cards where 4 are red. If 6 cards are drawn at random without…

A: We have given that a deck of cards contains 24 cards where 4 are red and rest(20) are non-red cards.…

Q: You decided to buy a white Honda. One out of five Honda cars at the dealerships is white. If you…

A: Introduction: If X ~ Binomial (n, p), then the probability mass function of X is: Here, n is…

Q: A box contains 3 white balls and 5 black balls, and all the balls are the same on all sides except…

A: Given that - A box contains 3 white balls and 5 black balls, and all the balls are the same on all…

Q: A bag contains 8 identical balls, but with different colors three blue balls, four red and one…

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Q: If a person randomly picks 4 of the 15 gold coins adealer has in stock, and 6 of the coins are…

A: Given , No of gold coins n=15No of random picks r=4P6 coins are counter feits=?

Q: In a college, there are 25 students who enrolled for commerce only, 105 students enrolled for…

A: Given: Number of Students enrolled for commerce, n(C) = 25           Number of Students enrolled for…

Q: A box contains 8 bulbs, of which 5 are good and 3 are defective. If 3 bulbs are randomly taken from…

A: Given that  Total bulbs=8 Good bulbs=5 Defective bulbs=3 3 bulbs are chosen at random

Q: (a) Suppose that 10 % persons in a large group of people are obese. If persons are checked one by…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A bag contains 20 balls: 8 red balls and 12 blue balls. Six of these balls are classified as…

A: According to the provided information, Total balls = 20 red balls = 8 blue balls = 12 6 balls are…

Q: What is the probability that a green ball is selected from the first box?

A: Here use tree diagram

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: What is the probability that a student chosen randomly from the class does not have an A?

A: The given information can be described as   Male Female Total A 3 12 15 Not A 2 4 6   5 16…

Q: A bag contains 200 balls that are either red or blue and either dull or shiny. There are 45 shiny…

A: There are totally 200 balls that are either red or blue and either dull or shiny in which there are…

Q: In an experiment, a ball is drawn from an box containing 7 green balls and 7 orange balls. If the…

A: If two dice are rolled then the total number of outcomes= 62 = 36 The cases for which we get sum 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: From a bag that contains 12 white balls, 18 red balls, and 10 green balls, one ball is drawn at…

A: Given problem Given that   From a bag that contains 12 white balls, 18 red balls, and 10 green…

Q: A box contains 20 DVDS, 4 of which are defective. If two DVDS are selected at random (without…

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Q: A baseball player hit 57 home runs in a season. Of the 57 home runs, 21 went to right field, 15 went…

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Q: In a group of 2500 persons, are female, 600 are vegetarian, and are female and vegetarian. What is…

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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 baseball player hit 58 home runs in a season. Of the 58 home runs, 18 went to right field, 20 went…

A: Given: Total number of runs=58Number of runs went to right field=18Number of runs went to left…

Q: What is the probability that two cards are selected at random from a deck of cards containing a face…

A: We have to find given probability

Q: A technician is launching fireworks near the end of a show. Of the remaining twelve fireworks, five…

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Q: 6-) If three balls are randomly drawn from a bow containing (6) white and (5) black balls, what is…

A: Number of white balls are 6 and number of black balls are 5, so total number of balls are 6+5=11. 3…

Q: In Bayside County, 45% of voters are registered Democrats. If three voters are selected at random,…

A: Given, P = 0.45 n = 3 x = 3 Here we use binomial distribution

Q: An urn contains 10 red balls, 20 yellow balls, and 40 orange balls.  If you reach into the urn and…

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: What  is the probability that a hand of 5 cards chosen at random from a standard deck of 52 cards…

A: The 5 cards chosen need to have an odd number of cards from each of the four suits. There are 4…

Q: A box contains 24 light bulbs of which four are defective. If one person selects 10 bulbs from the…

A: According to the provided information, a box contains 24 bulbs out of which four are defective. One…

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 a tank containing 10 fishes, there are three yellow and seven black fishes. We select three…

A: Hypergeometric distribution is given by

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: A clothes hamper contains 8 white socks and 11 black socks. Two socks are selected randomly without…

A:

Q: A large cube is painted red from all its sides, and then cut into 27 smaller cubes (like a rubiks…

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Q: A card is drawn at random from a set of cards containing two decks. What is the probability that the…

A: Solution: A deck contains 52 cards. It has 4 suits. Each suit contains 13 cards. There are 26 red…

Q: A marble is selected at random from a jar containing 5 red marbles, 6 yellow marbles, and 3 green…

A: From the provided information, The jar contains 5 red marbles, 6 yellow marbles and 3 green marbles.…

Q: In a secondary school, 65% of students who is studying in an art course have purchased a drawing…

A:

Q: What is the probability that a five-card poker hand contains two pairs (that is, two of each of two…

A: Given What is the probability that a five-card poker hand contains two pairs

Q: If a ball is selected at random from an urn containing three red balls, two white balls, and five…

A: According to the provided information, there are 3 red balls, 2 white balls, and 5 blue balls

Q: What is the probability of getting an ace (Event A) and queen (event B) happening in a fair hand of…

A: Probability of getting an ace Event A and Queen Event B : 4 C1 and 4 C1

Q: A classroom has five students wearing glasses and 16 students not wearing glasses. If we randomly…

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Q: A snack tray is arranged with 6 cups of apple slices in the first row, 8 cups of orange slices in…

A: Introduction: Suppose an experiment consists of n total number of possible outcomes, out of which, n…

Q: A bag contains 10 red marbles, 6 white marbles, and 5 blue marbles. You draw 3 marbles out at…

A:

Q: A box contains 20 DVDs, 4 of which are defective. If two DVDs are selected at random (without…

A: Given,no.of defective DVDs=4no.of good DVDs=16Total no.of DVDs=20

Q: A hand of 5 cards is dealt to each of three players from a standard deck of 52 cards. (a)What is the…

A: Given, A hand of 5 cards is dealt to each of three players from a standard deck of 52 cards.

Q: A class has six students. What is the probability that at most four of the students were born on a…

A: We know that there are 7 days in a week. The number of weekdays=5 So the probability of having a…

Q: A box contains 3 red, 3 white and 4 green balls. Two balls are drawn out of the box in succession…

A: In this question we find the probability for drawing two ball of same color from the box. Box has…