Social Security Numbers A Social Security number consists of nine digits in a particular order, and repetition of digits is allowed. After seeing the last four digits printed on a receipt, if you randomly select the other digits, what is the probability of getting the correct Social Security number of the person who was given the receipt?

Q: A fair die is rolled once. What is the probability of rolling a six and an even number?

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Q: One work week (Monday through Friday) in New York 10 people called the electrician. Every person…

A: Given, n = 10 p = electrician having one work week = 1/5 q = 1-p = 1 - 1/5 = 4/5

Q: A deck of cards contains 52 cards.  The cards are equally separated into four suits; hearts…

A: Given information- We have given that a deck of cards contains 52 cards. The cards are equally…

Q: 3.) Every year, Santa Claus classifies each child as either “Naughty" or “Nice." It is a known fact…

A: Het there.! Hope you're doing well as per the guidlines we can only answer the three subparts. If…

Q: Birthday paradox: Given N people, calculate the probability that at least two people have their…

A:

Q: American Airtines' flights from Denver to Atlanta are on time 90 % of the time. Suppose 14 flights…

A: Givenp=0.9n=14Let "x" be no.of on-timex~Binomial(n=14,p=0.9)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1...,n

Q: a purchase. If a random sample of 60 shoppers is selected,then the probability that at least 40% of…

A:

Q: You are running in a marathon with 38 total racers (including you) in which first, second, and third…

A: If we can't want to know the occurrence of any event it can be calculated by understanding the…

Q: Delta Airlines' flights from Boston to Seattle are on time 60 % of the time. Suppose 10 flights are…

A: For a defined random variable, X~B(n,p), the pmf is P(X=x)=nCxpxq(n-x) ; x=0,1,2,..n…

Q: Three cards are dealt from a shuffled standard deck of playing cards. Find the probability that the…

A: It is given that the three cards are dealt from a shuffled standard deck of playing cards.

Q: Counting techniques: Six people were asked to randomly select one food item from a list of 10 foods.…

A: This question can be solved by the concept of selection. 1st person will have 10 food items to…

Q: Exacta In a horse race, an exacta bet is won by correctly selecting the horses that finish first and…

A: Permutations rule:There are n different items and r number of selections. If the selections are made…

Q: Lotteries In a New York State daily lottery game, a sequence of four digits (not necessarily…

A:

Q: a. What is the probility of winning first prize?       b. What is the probability of winning…

A: In order to compute the probability, we need to count the total number of ways six numbers can be…

Q: Work this problem involving rental cars with navigation systems. Assume that the car lot contains…

A:

Q: - Missing Pages from Books A bookstore owner examines 5 books from each lot of 25 to check for…

A: Solution

Q: 17. A number card is drawn from a deck consist of 1, 2, 5, 8, 12, 15, 16, 20, and 25. Find the…

A: a number card is drawn from a deck consist of 1,2,5,8,12,15,16,20 and 25.

Q: Delta Airlines' flights from Boston to Seattle are on time 60 % of the time. Suppose 9 flights are…

A: Given : Delta Airlines flights from Boston to Seattle are on time 60% Let p : Proportion of flights…

Q: 10 Dice. a) If you roll three dice (each with six sides numbered 1, 2, 3, 4, 5, and 6), what is the…

A:

Q: Approximately seven people visits the front desk of a hotel every hour. what is the probability…

A: Given that seven people visits the front desk of a hotel every hour. Let X be the number of people…

Q: 3.) Every year, Santa Claus classifies each child as either “Naughty" or “Nice." It is a known fact…

A: There are 14% children are naughty. Hence probability of getting a naughty child = 0.14 a. The…

Q: Airport Scales. Airport baggage scales are used to determine if bags are overweight requiring…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Andy, Ben, Michael, Jake, and Gabe are the only competitors competing in a race.  Assuming that all…

A: This can be solved by using permutation and probability condition. This is explained below:

Q: Destination Weddings Twenty-six percent of couples who plan to marry this year are planning…

A: Given data: The given percentage of the couple who plan for destination weddings is p=26%=0.26. The…

Q: Find the probability of winning second prize - that is, picking 5 of the 6 winning numbers - with a…

A: The total number of ways of selecting 6 numbers out of 25 is 25C6.

Q: You randomly select an integer from 0 to 7 ​(inclusively) and then randomly select an integer from 0…

A: The probability of selecting 4 on first time from 8 values (0 to 7) is 18, and the probability of…

Q: Identity Theft with Credit CardsCredit card numbers typically have 16 digits, but not all of them…

A: a.The number of ways in which 10 digits can be generated is, 1016 ways.The probability of randomly…

Q: 1. A full house in poker is a hand where three cards share one rank and two cards share another…

A:

Q: A single card is drawn at random from a deck of playing cards. Find the probability the card is an…

A: A single card is drawn at random from a deck of playing cards.

Q: Colorblindness About 8% of males are colorblind. A researcher needs some colorblind subjects for an…

A: Given: P( male being color blind) = 0.8 Consider, X be the random variable that follows the number…

Q: 3.) Every year, Santa Claus classifies each child as either “Naughty" or “Nice." It is a known fact…

A: Note: As per the guidelines, solution to 3 subparts have been given. Given information: Probability…

Q: involving the selection of football plays from a playbook. Assume that the playbook contains 14…

A:

Q: A security code consists of a person's first and last initials followed by four digits. What is the…

A: a) The security code consists of 2 letters followed by 4 numbers. Each of the two letters has 26…

Q: American Airlines' flights from Boston to Atlanta are on time 70 % of the time. Suppose 13 flights…

A:

Q: In a certain state, license plates consist of four digits from 0 to 9 followed by four letters.…

A: Given: license plates consist of four digits from 0 to 9 followed by four letters. My name is DREX…

Q: Three fair coins are tossed. Determine the probability of obtaining: At most two heads Two tails…

A:

Q: a) A box contains 14 balls 6 red and 8 white. A ball is drawn from the box and a ball of the other…

A: 14 balls  =  6 red + 8 white Now one ball is drawn and another ball of different colour put in bag.…

Q: Moving Company The United Van Lines moving company has a truck filled for deliveries to five…

A: Preliminary calculation:To find the possible ways of order of 5 deliveries to 5 sites, permutation…

Q: Poker Chips. A bowl contains 12 poker chips—3 red, 4 white, and 5 blue. If one of these poker chips…

A: a) The required probability is obtained as follows:

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 9 type A​ balls, 5 type…

A: Type A balls = 9 Type B balls = 5 Type C balls = 4

Q: Multiple Births. The number of multiple births in the United States for a recent year indicated that…

A: TYPE OF SET NO OF SET NO OF BABIES IN ONE SET TOTAL NO OF BABIES        TWINS 128665 2 257330…

Q: Electric fuses produced by Ontario Electric are packaged in boxes of 12 units each. Suppose an…

A:

Q: 8). In the United States, voters who are neither Democrat nor Republican are called Independent. It…

A: (A) Obtain the probability that none of the people are Independent. The probability that none of the…

Q: uring a clinical placement, a nursing intern is supervised during her medication draws to ensure…

A: This follows poison's distribution and we can calculate the average error which is the  Average = No…

Q: American Airlines' flights from Chicago to Dallas are on time 70 % of the time. Suppose 13 flights…

A: From the provided information, American Airlines’ flight from Chicago to Dallas are on time 70% of…

Q: Winning the jackpot in a particular lottery requires that you select the correct  five numbers…

A:

Q: "License plates in a certain state consist of three letters followed by three digits. a) How many…

A: a). It is known that there are 10 digits and 26 letters. The license plate consists of three digits…

Q: New Lottery Game In the Monopoly Millionaires’ Club lottery game, you pay $5 and select five…

A: a.The probability of selecting the correct five numbers between 1 and 52 is,

Q: Three fair coins are tossed. Determine the probability of obtaining  At most two heads Two tails…

A: Given that :  Three fair coins  are tossed.  Total outcomes n(s) = 23 = 8

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.