A box contains 24 light bulbs of which four are defective. If one person selects 10 bulbs from the box in a random manner, and a second person then takes the remaining 14 bulbs, what is the probability that all four defective bulbs will be obtained by the same person?

Q: A box contain 10 items,3 of which are defective and 7 are good.Two items are selected.What is the…

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Q: A lot of 12 compressed air bottles is checked to see whether there are any defective bottles.  Three…

A: Number of good bottles = 12 - 3 = 9 P(Lot will be rejected)= P(Getting 1 or more defective in a…

Q: If a box contains 10 bulbs, of which just three are defective. If a random sample of five bulbs is…

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Q: There are two groups of subjects one of which consists of 5 science subjects and 3 engineering…

A: Here,   P(Engineering |Group 1)=3/8 P(Group 1) =2/6 P(Engineering |Group 2)=5/8 P(Group 2) =4/6

Q: In a group of 10 people (none related to each other), 6 of the people have brown eyes and 4 of them…

A: Given,   Brown eyes people = 6 Blue eyes people = 4   Total = 10   The objective is to find the…

Q: A bag contains 7 red marbles, 4 blue marbles and 5 green marbles. If three marbles are drawn out of…

A:

Q: Two containers contain different balls. The first container contains 5 red balls, 4 blue balls, and…

A: Given: Container 1 n(red) = 5 n(blue) = 4 n(yellow) = 6 n(total) = 15 Container 2 n(red) = 6 n(blue)…

Q: A card player selects 2 cards from a deck of 52 cards at random without replacement. The deck…

A: Given Data: The number of cards in the deck is: n=52 The number of aces in the deck is: r=4 The…

Q: During an epidemic of a certain disease, a doctor was consulted by 100 people suffering symptoms…

A: General formula of probability is , Probability = Number of favorable outcomes Total outcomes

Q: A bag contains three black balls, three red balls, and three gold balls. If you pick two balls at…

A: A bag contains three black balls, three red balls, and three gold balls. So, the total number of…

Q: An after-school club sonsists of 10 juniors and 12 seniors. If 2 students are chosen at random to…

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Q: A bag contains five red marbles and eight white marbles. If a sample of three marbles contains at…

A: Solution-:Given: A bag contains 5 red marbles and 8 white marbles.If a sample of three marbles…

Q: In a large bag of marbles, there are 20 red, 15 blue, and 10 green marbles. If three marbles are…

A: From the provided information, In a large bag of marbles, there are 20 red, 15 blue, and 10 green…

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

Q: If you have a drawer that holds 5 black t-shirts, 10 blue t-shirts, and 7 white t-shirts, what is…

A: Solution: It is given that a drawer holds: 5 black t-shirts 10 blue t-shirts 7 white t-shirts…

Q: This bag contains exactly 4 marbles, of which 3 are black and 1 is white. A marble is picked and not…

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Q: A box has 19 candies in it: 2 are peppermint, 7 are caramel, and 10 are taffy. (Each candy falls…

A: It is given that Total candies = 19 Number of peppermint candies = 2 Number of caramel candies = 7…

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: A contractor orders doors from a local manufacturer to fit the homes they are building. The…

A: Consider that p is defined as the probability that a door will have defects. Since, 3 doors are…

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

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Q: A flashlight has 71 batteries, 13 of which are defective. If two are selected at random without…

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Q: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is…

A: For the given data Find p ( urn 2 / white ) =?

Q: Consider two boxes: box I contains 3 blue and 2 red marbles; box II contains 3 blue and 5 red…

A: First, we need to identify the total number of outcomes. In this case, we have two boxes, each with…

Q: What is the probability that this package will be rejected?

A: Solution: From the given information, out of 15 light bulbs 3 are defectives.

Q: If a person randomly picks and buys one of the four newsletters in the street each morning. What is…

A: Given that  A person randomly pics and buys one of the four news letters in the street each morning.…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.