A shipment of 150 laptops contains 9 defective laptops. A quality control specialist chooses a sample of 10 laptops from the shipment. How many possible choices of 10 laptops can be made? How many of these possible selections will not contain any defective laptops? How many of the possible selections will contain at least one defective laptop? How many of the possible selections will contain exactly one defective laptop?

Q: In a group of students, 30 played chess, 19 played volleyball, 25 played basketball, 14 played both…

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Q: A company received a shipment of 41 laser printers, including 8 that are defective. 3 of these…

A: Given that , A company received a shipment of 41 laser printers   i.e. Number of sample space = S =…

Q: Phone failures can be referred to as battery defects or power supply defects. A repair shop…

A: 6-battery defects19-power supply defects25-failed phones

Q: A class has ten girls and three boys. If the teacher randomly picks ten students,what is the…

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Q: If there are 9 acts in the talent show, how many different orders of performance are possible if…

A: Given that there are 9 acts in the talent show to perform.

Q: How many five-card poker hands containing exactly one pair are possible from a deck of 52 cards?

A: To find n(S), determine the number of ways to choose five-card hands from a pack of 52 cards.…

Q: A paper bag contains three green,four brown and five yellow beads. To win a game, Zoe needs to draw…

A: Given, a paper bag contains 3 green, 4 brown and 5 yellow beads. so we have a total of 12 beads…

Q: 12 babies are randomly selected selected, how many different gender sequences are possible?

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Q: Decide whether the exercise involves permutations or combinations, and then solve the problem.…

A: Given, a bag containing 13 marbles Marbles are drawn from the bag without replacement.   So,

Q: A shipment of 9 television sets includes three that are defective. In how many ways can a hotel…

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Q: In how many ways can she fill the four positions if; a. the selection is random? b. two out of the…

A: It is given that Total persons = 10 Number of woman = 4 Number of man = 6

Q: In a shipment of 18 smartphones, 2 are defective. How many ways can a quality control inspector…

A: According to the provided data, in a shipment of 18 smartphones, 2 are defective. So, the remaining…

Q: A automobile race contains 15 racecars. In how many ways can the racecars finish in first, second,…

A: A automobile race contains 15 racecars.

Q: In how many ways can 7 students from a class of 28 be chosen for a field trip?

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Q: A shipment of 40 computers are unloaded from the van and tested 6 of them are defective In how many…

A: We will find out the required number of ways.

Q: If we have a population of 9 objects, in how many ways may we select a sample of 5 objects from the…

A: The population size is N = 9 Sample size is n = 5

Q: A dog enthusiast wanted to see if there was a difference in pit-bull ownership between people in…

A: 1.    What are the population(s) the researcher is interested in studying? ⇒ They obtained a list of…

Q: In a study of 100 new cars, 29 are white. Find p hat and q hat , p hat where  is the proportion of…

A: Given: Number of cars (n) = 100 Number of white cars (x) = 29

Q: In how many ways can a group of 5 girls be selected from 8 if the eldest girl is included in each…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: If a manufacturer is trying to put together a sample collection of her safetyproduct and order is…

A: Find the number of ways in which 15 items can be placed in packages containing 5 items without…

Q: A species is known to have 1) red, brown, black, or grey hair, 2) yellow or white sclera, 3) a pink…

A: For any particular phenotypic combination in the species,       For hair, 4 options are available.…

Q: How many five-card hands (drawn from a standard deck) contain exactly three nines? (A five-card hand…

A: There are 4 nines in a deck of 52 cards. We can select 3 nines in 4C3=4 ways.

Q: A food company is testing 5 chocolate chip cookies, 4 crackers, and 6 reduced-fat cookies. If it…

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Q: 5. A pharmaceutical researcher needs 7 people to test the effectiveness of an experimental drug. If…

A: we have to select people therefore we will use combination nCr=n!/r!(n-r)!

Q: A large pile of coins consists of pennies, nickels, dimes, and quarters (at least 20 of each). How…

A: *to find:- different collection to be chosen out of 20 coins which contains at least 3 coins of each…

Q: You are a professor of journalism and have 14 students in your class. How many ways can you line up…

A: Given,total no.of students=14

Q: A new smartphone comes in five colors, two screen sizes, and four different data plans.  In how many…

A: It is given that a new smartphone comes in five colors, two screen sizes, and four different data…

Q: In how many ways can a person choose three movies to watch from a collection of 7 suggested movies?

A: The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: The number of permutations of n items is also called as _______________.

A: The number of permutations of n items is also called as n! (n Factorial).

Q: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…

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Q: In how many ways can six pictures be selected from a group of ten different pictures?

A: It is given that 6 different pictures are to be selected from a group of 10 pictures, therefore,

Q: How many five-card hands (drawn from a standard deck) contain exactly two spades? (A five-card hand…

A: There are 13 spades in a deck of 52 cards. We can select 2 spades in 13C2=78 ways.

Q: Find the number of ways of selecting exactly one of the two best applicants in a selection of two…

A: Given problem Given that

Q: In a shipment of 22 smartphones, 3 are defective. How many ways can a quality control inspector…

A: Given that In a shipment of 22 smartphones, 3 are defective.

Q: In a shipment of 19 smartphones, 3 are defective. How many ways can a quality control inspector…

A: Given   9 smartphones , 3 are defectiverandomly test 5 smartphones , of which 3 aredefective.rest…

Q: In a shipment of 21 smartphones, 3 are defective. How many ways can a quality control inspector…

A: The number of ways to select 3 defectives out of 3 defectives is only by one way. The number of ways…

Q: Refer to a bag containing 20 balls—six red, six green, and eight purple. In how many ways can we…

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Q: 2. How many ways can 3 cards be selected from a standard deck of 52 cards, disregarding the order of…

A: To find the ways in which the 3 cards can be drawn from the deck of 52 cards if the order does not…

Q: In a shipment of 21 smartphones, 2 are defective. How many ways can a quality control inspector…

A:

Q: A biologist is studying the composition of birds on a lake and counts 61 ducks, 17 geese, 11 cranes,…

A:

Q: In a statistics class, there are 45 students where 3/5 of them are girls, In how many ways can a…

A: It is given that the, total no. of students in a statistics class is 45 out of which no. of boys…

Q: In a shipment of 18 smartphones, 2 are defective. How many ways can a quality control inspector…

A: There are 18 smartphones in a shipment out of which 2 are defective. That is there are 16…

Q: A bag contains pieces of 6 different types of candy. If the bag has 85 pieces in total, how many…

A: Explanation:Here givens the 85 prices 6 types of different candys and finally how much randomly…

Q: 2) The Math Club consists of 15 members. Four of them will represent the school in a math…

A: Given Total number of members of Math Club is = 15

Q: Consider a shipment of 50 laptops of which four are defective. B. How many ways can we select four…

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Q: 4. How many cards must you pick from a standard 52-card deck to be sure of getting at least 1 red…

A: Explanation:in this given 52 cards deck asking why  In step2 explanation will there

Q: It is harder to get into graduate programs in psychology or history? We randomly selected five…

A: Solution: We are given the data of the minimum GPA for applicants to the psychology doctoral…

Q: A shipment of 40 computers are unloaded from the van and tested. 6 of them are defective. In how…

A:

Q: A committee is to consist of a chair, four hagglers, and six do-nothings. The committee is formed by…

A: Step a) First, we need to select 11 members from the given 13 people Step b) Second, we need to…