A team of 5 men and 4 women is to be chosen at random from a group of 8 male and 7 female mathematicians. If Rodney and Deborah are both hoping to be chosen, what is the probability that: (i) Both are chosen? ii) Neither is chosen?

Q: A gumball dispenser has 38 orange gumballs, 30 purple ones, and 18 yellow ones. The dispenser…

A: Given data There are  38 orange gum balls 30 purple gum balls 18 yellow ones.

Q: A committee of 5 persons is to be formed from 6 men and 4 women. What is the probability that the…

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Q: e only 9 bottles of beer left, 2 of which have already expired. If a group of friends order 4…

A: Provided information is , In a village pub, there are only 9 bottles of beer left, 2 of which have…

Q: For this problem, assume the box contains 5 mango balls, 4 aqua balls, and 7 gold balls, and that we…

A: Let A be the event that the chosen balls are not mango balls. Let B be the event that the chosen…

Q: the pace factor of a random man was recorded to be 0.76 meters per step. if there is 2.7% margin of…

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Q: committee of 3 is to be chosen from 14, 10 females and 4 males, at random. Josue is one of the…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A spinner has numbers 1–9 marked equally on the face. If the spinner is spun 2 times, what is the…

A: Given Information: A spinner has numbers 1–9 marked equally on the face and the spinner is spun 2…

Q: A men is dealt 4 spade cards from an ordinary pack of 52 cards. If he is given three more cards,…

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Q: If there are eight questions and each question has four answer choices, what is the probability she…

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Q: The manager of the high school baseball team randomly selects 7 pitchers from a group of 13 students…

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Q: A child is allowed to have 2 treats from a bag containing 21 chocolates, 11 hard candies, and 10…

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Q: following table. Procurement Cost($) 10 11 12 on is Probability 0.25 0.45 0.30 Labor Cost ($) 20 22…

A: Given data: Procurement cost Probability Labor cost Probability Transportation cost Probability…

Q: Assume that there are 8 white mice and 7 black mice to choose from, and you randomly pick 4 mice.…

A: It is given that, there are 8 white mice and 7 black mice. Thus, total mice  =8+7=15 We randomly pic…

Q: There are 5 goats and 10 sheep in a herd. The owner of the animals will sell 5 animals that he will…

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Q: 1. A family has 3 children: boys and girls are equally likely offspring. What is the probability of…

A: Given : A family has 3 children : Let, B = boy G =Girl The total possible outcomes is :…

Q: In a class of 100 students, 25 have hardcover and 75 students have paperback textbooks. If you…

A: d) According to the given information,Population size, N = 100Number of successes in population, K =…

Q: A suitcase contains 7 T-shirts, 4 pairs of shorts, and 6 pairs of pants. If a piece of clothing is…

A: We know the formula for finding the probability of an outcome is favourable outcomesTotal outcomes

Q: Suppose an animal shelter has 10 cats and 8 rabbits. One day, 3 of these animāls are chosen (in an…

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Q: A committee of 4 is to be chosen at random from a group of 4 men and 3 women What is the probability…

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Q: Assume that two bags contain 4 balls each. Bag A contains 1 red and 3 white, while Bag B contains 2…

A: Given data: The number of red balls in the first bag is rA=1. The number of white balls in the first…

Q: Five items are selected from a box of 15 items and inspected. The box is rejected if more than two…

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

Q: select one puppy at random with replacement (they may both select the same one), find the…

A: No.of poodles=4 No.of terriers=5 No.of retrievers=2 Total puppies=11

Q: Suppose there are 3 Americans, 9 Germans, and 6 Swiss in the room and we need to select a committee…

A: The following information has been provided: Number of Americans=3 Number of Germans=9 Number of…

Q: A particular item is stocked in four different sizes. An order is received for 2 items, but the…

A: Given, a particular item has 4 different sizes. Probability of getting one’s desired size is…

Q: uppose you have the population value 50 and 80 and that their corresponding z-scores respectively.…

A: Given Data: Population value=50 and 80   we also know the corresponding z-score

Q: A pet store has 7 puppies, including 3 poodles, 2 terriers, and 2 retrievers. If Rebecka and Aaron,…

A: Total number of puppies = 7 Number of Poodles = 3 Number of Terriers = 2 Retrievers  = 2  Selecting…

Q: A committee of 2 is chosen at random from a population of 4 men and 5 women. What is the probability…

A: given data, A committee of 2 is chosen at random from a population4 men5 women9-total members the…

Q: A city has two daily newspapers, A and B. A survey of 100 residents of the city shows that 35 people…

A: Given, A survey of 100 residents of the city shows that 35 people subscribe to A, 60 subscribe to B…

Q: Suppose we want to pick two numbers from{1,2,3,....,100} randomly. What is the probability that the…

A: Modulo 5 = 0 are 20 Modulo 5 = 1 are 20 Modulo 5 = 2 are 20 Modulo 5 = 3 are 20 Modulo 5 = 4 are 20…

Q: Solve all the subparts in question. Q)A set of eight cards contains one joker. Player A and Player…

A: Player A chooses 5 cards at random, hence probability that player A has joker is 5/8 =0.625 Player B…

Q: A comment of 2 people is to be chosen from 8 women and 6 men. What is the probability at least one…

A: Given Data: The number of people required in the community is: N=2  people The number of women…

Q: Two boxes each contain long and short bolts. Box 1 contains 60 long and 40 short bolts, while box 2…

A: The provided information is as follows:Box 1 contains 60 long bolts and 40 short bolts.Box 2…

Q: In an Urn are 5 blue, 3 red and 2 yellow marbles. If you draw 3 marbles, what is the probability…

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Q: In a box there are 2 white, 3 black, and 4 red balls. If a ball is drawn at random, what is the…

A: Given: Number of white balls, n(w)=2. Number of black balls, n(b)=3. Number of red balls, n(r)=4.…