according to the famous " birthday problem "  what is  the chance that 4  people have  atleast one birthday match  hint : p ( at least 1 match ) = 1 - p ( none match )

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: I An animal shelter has a 60% adoption rate for puppies. Of the puppies that are adopted 85% live to…

A: Let A= adoption rate for puppies L= The puppies  live to be 7 years or older P(A)=0.60 PL|A=0.85

Q: When Steve plays chess against his favorite computer program, he wins with probability of 0.60, If…

A: P(steve win the game) = p = 0.60 no. of games played = n = 12 x = no. of games played P(x=X) =…

Q: What chance do you have of winning the lottery if there are 1 million entries and each of you have…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: 10. What is the probability of winning the California Lottery? (Assuming that they are playing 51…

A: What is the probability of winning the California Lottery? (Assuming that they are playing 51…

Q: What is the number of combinations of the six numbers on a Mega Millions ticket as well as the…

A: It is given that there are 5 numbers that are drawing from 1, 2, 3, ….70 without replacement. While…

Q: 6. Richard has been given a 6-question multiple-choice.quiz in his history class. Each question has…

A: Number of questions = 6Each question has four choices, of which only one is correct.n=6, p =…

Q: A game that draws 5 digits from 1-49 from the same machine. In other words, numbers are drawn and…

A:

Q: 10. Ron was playing a game of blackjack. Assuming the 52-card deck was randomly shuffled, what is…

A: To find the percent probability that he will be dealt a face card followed by a two in any suit:

Q: Jack has 10 chips numbered 1-10, what is the probability that he selects an even number or less than…

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Q: Nine stranger are put in a room. There is 50% probability that any two random people in the room…

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Q: When 5 digits( between 0 and 9) are randomly selected with replacement for a lottery ticket, what is…

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Q: Suppose you are going to form a committee of students and faculty. You have 12 total students and 24…

A:

Q: The digits of the number 1,776 are written on disks and placed in a jar. What is the probability…

A: It is given that the number is 1776.

Q: he probability of drawing a black face card?

A: Given that  An experiment consists of drawing 1 card from a standard 52 card deck .   We know that…

Q: 2. What is the chance of having four children and all of them being boys?

A: we have to find probability of family have four children and all of them are boys  =?

Q: If a six member ethics committee is chosen at random from 20 state representatives of which 1 are…

A: It is given that No. of Republicans = 12No. of Democrats = 8Total members = 20

Q: There are 28 students in a class taking a test. What is the chance you can guess correctly who is…

A: Given information: It is given that there are 28 students in the class taking the test.

Q: Professor Ramos will participate in a lottery that will be played by 165 participants. He buys a…

A: The question is about expected value.Given :Total no. of participants = 165Cost of ticket =…

Q: lorida lotto game is typical of states lotteries. You must select seven different numbers between…

A: As the order is not important, we will use combinations. Given: You must select seven different…

Q: . What is the probability of randomly selecting either a black Ace or a red 9 from a deck of 52…

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Q: At a grocery store there are 45 employees there are 23 employees who are married 13 employees who…

A: There are totally 45 employees in a grocery store in which 23 employees who are married 13 employees…

Q: 10. Assume that a lottery was conducted in a small office and only 10 tickets were sold; you and a…

A: Total Tickets available = 10 2 winners are selected First we will select the first prize , then…

Q: What is probability that two randomly selected people are born on the different weekdays?

A: It is given that two randomly selected people are born on the different weekdays.

Q: You wish to play a three-number lottery with your favorite data 8, 2 and 5.  After a number is…

A: Given dataThere are 3 numbersRepetition is allowedWe are drawing a single number with replacement,…

Q: 2. John plans to toss a die until he observes two even numbers. What is the chance tha the 2nd even…

A: The sample space of a dice is S= {1, 2, 3, 4, 5, 6}. The probability of getting odd number is 1/2.…

Q: Professor Ramos will participate in a lottery that will be played by five hundred participants. He…

A: Total number of participants = 500 (This implies 500 lottery tickets are there) Professor Ramos buys…

Q: 7. A student takes a 10-question, true-false exam and guesses on each question. Find the probability…

A: Solution To find the probability we will use binomial distribution.

Q: 6. A multiple choice test has 4 possible answers for each question a. If you guess an answer for a…

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Q: and one love song album. If you randomly select three albums, what is the probability that you get…

A: Here Given, Dad's music collection includes 5 rock music albums, 3 classical music albums, and one…

Q: 16. two aces? What is the chance that a hand of five cards contains at least

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Q: A bag contains 6black marbles, 7red marbles, 4yellow marbles. If one marble is drawn from the bag…

A: Hello! As you have posted 3 different questions, we are answering the first question. In case you…

Q: If you make random guesses for four multiple choice test questions (each with 4 possible answer),…

A: Let X be the random variable that a number of answers correct. Here X ~ bin n=4, p = 14The pmf of…

Q: What is the probability that a five-card poker hand contains the one of diamonds, the three of…

A: HERE GIVEN , 5 Card hand have one of diamonds, the three of spades, the five of hearts, the seven of…