What is the probability of having 2 boys given at least 1 is a boy? (Bayes’ theorem)

Q: A fair die is rolled once and the number that appears on top is observed. What is the probability…

A: When a fair die is rolled once then you can get one of the outcomes i.e. the sample space…

Q: An office employs 5 women and 3 men. During break time, the workers go one at a time into the coffee…

A: Given, No of women = 5 No of men = 3 Total = 8

Q: A volcano erupts 10 times in 200 years. What is the probability that it will erupt next year?

A: Poisson Distribution: If the average probability of an event happening per unit, and there is a need…

Q: According to FBI data 12% are cleared. What is the probability that the detective clears five…

A: Binomial distribution : A Binomial is a type of distribution which has two possible outcomes. i.e.,…

Q: A card is drawn at random from a deck. (i) What is the probability that it is an ace or a king? (ii)…

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Q: A box contains 10 balls of which 5 are red and 5 are white. If two balls are randomly drawn with…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: A high school baseball player has a 0.241 batting average. In one game, he gets 8 at bats. What is…

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Q: A card is chosen from a deck of playing cards. What is the probability that it

A: Given, a card is chosen from a deck of playing cards

Q: A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from…

A: Given  Total Number of electric bulbs=20  Total Number of Defective Bulb=4

Q: Sociologist say that 90% of married woman have issues with their husband's mother and it is the…

A: Preliminary calculations:The given scenario follows binomial distribution.The probability of…

Q: A race consists of 11 women and 7 men. What is the probability that the top three finishers were 1…

A: There are total (11+7)=18 persons.We can pick top 3 finishers from 18 persons in 18P3=4896 ways.We…

Q: A certain type of ochro seed germinates 75% of the time. A backyard farmer planted 6 seeds. What is…

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

Q: Warranty records show that the probability that a new car needs a warranty repair in the first 90…

A: Given data, n=3 p=0.05 probability that none needs a warranty repair(P(X=0))=?

Q: Two fair dice are rolled. What is the probability that the sum or product of the two numbers rolled…

A: Given: Two fair dices are rolled. Probability that the sum or product of the two number rolled is…

Q: You roll a 4-sided die 10 times What is the probability you roll a 1 exactly 5 times? What is the…

A: In question, Given a 4 sided rolled 10 times then we'll find the probability that, (1). Getting 1…

Q: basketball player makes foul shots 75 % of the time. If she takes 9 shots, what is the probability…

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Q: 2. The probability that a rifleman hitting the target is 40%. Suppose he fires 8 times, what is the…

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Q: A supplier receives 1000 shirts from a textiles company. The probability that a shirt is defective…

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Q: An urn contains six green balls and five red balls. What is the probability that a ball chosen at…

A: According to the provided information, green balls = 6 red balls = 5 Total balls = 11

Q: A company gets 5 letters of complaint (in average) per day. What is the probability of having 4…

A: Given :-   A company gets 5 letters of complaint (in average) per day , so λ=5  probability of…

Q: Joe is playing an arcade game and has 8 chances to knock down the moving ducks. A person playing…

A: 1.Find the probability that Joe hits the fourth duck:A person playing the Arcade game hits the…

Q: In a shooting arena there are 16 guns of type A and 3 guns type B. Probability of hitting a shot…

A: Let us denote H=the event of hitting There are total (16+3)=19 guns.So, P(A)=1619, P(B)=319Given…

Q: You play a game with your friend where your probability of winning is 5%. If you play the game 50…

A: Given that: Sample size (n) = 50 P = 5% By using binomial distribution we solve this problem

Q: Two dice are rolled. What is the probability that the sum on the two dice is less than 6?

A: Solution:Total number of outcomes possible when a die is thrown = 6,Hence, Total number of outcomes…

Q: coin is flipped and a card is drawn from a standard deck of cards. What is the probability of…

A: flip coin and card choose from deck P(head and face card) = ?

Q: baseball player strikes out 45% of the time.. What is the probability that they will not strike out…

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Q: An aircraft is used to fire at a target. It will be successful if 2 or more bombs hit the target. If…

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Q: A motorcycle licence plate has 2 letters and 3 numbers. What is the probability that a motorcycle…

A: A motorcycle license plate has 2 letters and 3 numbers. The probability of that motorcycle has a…

Q: 0% of the senior class is female. Of the females, 20% are school athletes. What is the probability…

A: Probability is defined as the sum of favorable ways of an events divided by the total number of…

Q: A famous football team plays 60% of games at night and 40% during the day. The team wins 50% of the…

A: Given: Let A be the event of games played by a football team at night. Let B be the event of games…

Q: In an average year in Las Vegas, there are 5 fires. a. What is the probability that there'll 8 fires…

A: Given problem Given that   a)

Q: What is the probability that a randomly selected student is both female and an undergraduate? What…

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Q: A card is randomly selected from a deck of an ordinary cards.what is the probability that the card…

A: Given: number of cards(n)=52number of spades cards (s)=13Number of less than 5 (y )=16…

Q: A. What is the probability that a randomly selected person who buys more than 2 pairs of jeans is…

A: From the provided information,   0 pairs 1 pair 2 pairs More than 2 pairs Totals…

Q: An electric clock is stopped by a power failure. What is the probability that the second hand is…

A: Given  An electric clock is stopped by a power failure. To find :  The Probability that the second…

Q: A supermarket manager knows that an average of four persons will pass through the checkout line…

A: It is given that A supermarket manager knows that an average of four persons will pass through the…

Q: A high school baseball player has a 0.248 batting average. In one game, he gets 7 at bats. What is…

A: A high school baseball player has a 0.248 batting average p=0.248 Let X be random variable that the…

Q: Two six sided dice are rolled and the numbers are observed. What is the probability that the two…

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Q: Research has shown that 15% of students at a certain business college do smoke Marijuana Cannabis.…

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Q: A store sells on average 1.4 cars per day. What is the probability that it will sell at least 2 cars…

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Q: Two fair dice are thrown. What is the probability that the sum of the dice is divisible by 5?

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Q: A basketball player hits three-point shots 45% of the time.  If she takes 4 shots during the game,…

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Q: what is the probability that at least one of the people in the group is positive for Hepatitis-C

A: Composite blood testing is sometimes used to save costs.  A Hepatitis-C composite blood test means…

Q: A race consists of 11 women and 7 men. What is the probability that the top three finishers were 2…

A: There are total (11+7)=18 persons.We can pick top 3 finishers from 18 persons in 18P3=4896 ways.We…

Q: What is the probability to withdraw a marble at random that is red or blue

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Q: What is the probability of selecting a red marble, returning it the bag, and then selecting a yellow…

A: First we have to calculate total no of marbles.then calculate respective probabilities. Probability…

Q: Certain parents have a 25% chance of having a child with Type O blood. They have five kids. What is…

A: Solution:-  From given information  Sample n=5 Probability p= 0.25

Q: Tom works at Napa and sells auto parts. Tom sold 18 auto parts last week. What is the  probability…

A: Answer:-  Let, X be the number of auto parts get returned.  Here, X follows Binomial distribution…

Q: ) What is the probability that they are female? ; What is the probability that they exercise for…

A: It is given that Total number of persons = 100 Number of females = 55 Number of persons who exercise…

Q: A store sells on average 1.9 cars per day. What is the probability that it will sell at least 2 cars…

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