A tire shop has 200 tires in stock.Assume that 15 of these tires are defective, You randomly choose 3 tires.What is the probability that you choose 3 tires that are not defective .Round your answer to four decimal places.

Q: A fair 6-sided die is rolled three times. What is the probability that all three rolls are 3? Write…

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Q: Assume that 8 women and 6 men work in a department at a large company, a committee of 4 people from…

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Q: A history class is comprised of 4 female and 8 male students. If the instructor of the class…

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Q: A history class is comprised of 9 female and 4 male students. If the instructor of the class…

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Q: A history class is comprised of 3 female and 9 male students. If the instructor of the class…

A: Given:- female students =3 male students =9 total students = 3+9 = 12   5 students are randomly…

Q: In a large population, 57 % of the people have been vaccinated. If 5 people are randomly selected,…

A: We have given that  Sample size n= 5 Success of probability p=57%=0.57 X~binomial ( n ,p)

Q: During a laboratory experiment, the average number of radioactive particles passing through a…

A: Let X be the number of radio active particles passing through a counter in one millisecond. It is…

Q: In a large population, 71 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Given p=0.71, n=4  X ~ Binomial(n=4 ,p=0.71)

Q: In a large population, 53 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Given information- Given problem is of binomial distribution. Probability of success, p = 0.53 No.…

Q: An urn contains 5 red balls and 9 yellow balls. If Vince chooses 6 balls at random from the urn,…

A: It is given that Number of red balls = 5 Number of yellow balls = 9 Total = 14 Sample size = 6 The…

Q: In a communication channel, data is sent in 10-bit packets. The percentage of a bit sent with error…

A: Given In a communication channel, data is sent in 10-bit packets. The percentage of a bit sent with…

Q: If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are…

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Q: Garrett buys a bag of cookies that contains 6 chocolate chip cookies, 5 peanut butter cookies, 9…

A: From the provided information, Total number of cookies = 6 + 5 + 9 + 5 = 25

Q: Jane tosses a fair die 3 times. What is the probability she rolls at least 1 five? If necessary,…

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Q: A baseball player has a batting average of 0.4. What is the probability that he has exactly 1 hits…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: In a large population, 51 % of the people have been vaccinated. If 5 people are randomly selected,…

A: It is given that the probability a randomly selected person is vaccinated is 0.51. Assuming that for…

Q: In a large population, 51 % of the people have been vaccinated. If 4 people are randomly selected,…

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Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 11 seeds are…

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Q: What is the probability of being dealt four cards of one denomination and two of another in six-card…

A: Given data: What is the probability of being dealt four cards of one denomination and two of…

Q: In a large population, 52 % of the people have been vaccinated. If 3 people are randomly selected,…

A: P(vaccinated) =p = 0.52 P(not vaccinated) = 1-0.52 = 0.48

Q: In a large population, 68% of the people have been vaccinated. If 5 people are randomly selected,…

A: Givenp=0.68n=5Let x be no.of people vaccinatedx~Binomial(n=5,p=0.68)P(X=x)=(nx)×px×(1-p)n-x   ;…

Q: A manufacturing machine has a 1% defect rate. If 3 items are chosen at random, what is the…

A: It is given that n = 3 and p = 0.01.

Q: Find the probability of being dealt three aces in a row, with replacement.  Assume a standard deck…

A: Standard deck of cards have 52 cards. Out of them 4 cards are Aces.

Q: If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are…

A: From the provided information, Total cards = 52 Total queens = 4

Q: What is the probability that 5 particles enter the counter in any given millisecond?

A: Let X denote the number of particles passing through a counter in 1 millisecond.

Q: A history class is comprised of 3 female and 4 male students. If the instructor of the class…

A: Given,   Number of female = 3 Number of male = 4   Total = 7   The objective is to find the…

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 11 seeds are planted,…

A: According to the given information in this question We need to find the probability that exactly 3…

Q: A baseball player has a batting average of 0.225. What is the probability that he has exactly 3 hits…

A: Given: Probability of hitting the ball, P(h)=0.225. The objective is to find the probability of 3…

Q: Jacobs & Johnson, an accounting firm, employs 16 accountants, of whom 7 are CPAS. If a delegation of…

A: Given that, the total employs are 16, the CAPs are 7 ,non-CAPs are 16-7=9. Ans also given that, 2…

Q: A pharmacist estimates that a chemotherapy drug produces a 75% improvement in lung cancer patients.…

A: Given Data Probability of success,p = 0.75 Probability of failure,q=(1- 0.75 )= 0.25…

Q: In a large population, 64% of the people have been vaccinated. If 3 people are randomly selected,…

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Q: In a large population, 58% of the people have been vaccinated. If 3 people are randomly selected,…

A: Given, 58% of the people have been vaccinated. that is

Q: A die is rolled twice. What is the probability of showing a 5 on the first roll and an even number…

A: When a die is rolled twice,  There are 6 outcomes (1,2,3,4,5,6) on the first roll and 6 similar…

Q: A baseball player has a batting average of 0.37. What is the probability that he has exactly 1 hits…

A: Binomial distribution : A discrete random variable x is said to be binomial distribution with the…

Q: In a large population, 68 % of the people have been vaccinated. If 4 people are randomly selected,…

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Q: Apple produces about 300 iPads every hour at their factory in Silicon Valley. On average, about 2.5…

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Q: A basketball player has a 0.654 probability of making a free throw. If the player shoots 13 free…

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Q: If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are…

A: Here we have known that there are 12 cards. and Cnr=n!r!(n-r)!

Q: During a Kansas tornado season, the probability a local grocery store experiences power outage on…

A: (c) On none of the days: P(None of days)= (1-0.125)5 P(None of days)=(0.875)5 P(None of days)=…

Q: If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are…

A: There are 13 clubs in a standard deck of 52 cards.    We can select any 3 cards in 52C3 = 22100 ways…

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 7 seeds are planted,…

A: Let x be number of plants don’t grow. Here x follows binomial distribution with parameters n = 7 and…

Q: If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are…

A: The formula of the probability is, p=favrable outcomestotal outcomes As we know that there are 4…

Q: In a large population, 68 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Given that, 68% of the people have been vaccinated. Probability, p = 68% = 0.68 Sample size, n = 3

Q: Joe tosses a fair three-sided die 9 times. What is the probability he rolls all threes? If…

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Q: What is the probability that a registered voter voted in the election? About About 3,182,436 voted…

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Q: In a large population, 53% of the people have been vaccinated. If 4 people are randomly selected,…

A: Given data The Probability of people being vaccinated is, p = 0.53 The No of people randomly…

Q: A recent survey of 2500 people who own tablets showed that 1,654 use the device to play games, 1,001…

A: Let G be the event that a person uses tablet for playing games and E be the event that a person uses…

Q: Find the probability distribution for the number of heads that occur when 4 coins are tossed.

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Q: A swim team consists of 5 boys and 6 girls. A relay team of 4 swimmers is chosen at random from the…

A: In this question we need to solve the question which is based on probability.

Q: If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are…

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Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.