Suppose an ATM PIN must consist of 4 numbers from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, with repeats allowed. For example, an acceptable PIN could be 9551.   How many possible ATM PINs are possible?         If someone had one attempt to guess an ATM PIN, what is the probability they would guess correctly with one attempt?                       If 25 people start a race, in how many different ways can the top 2 finishers be determined?                 The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9 male faculty members. If a committee is to be formed of 2 faculty members, how many different committees are there that consist of:   Two females?         Two males?         One male and one female?

Q: Suppose that 34% of people own dogs. If you pick two people at random, what is the probability that…

A: No.of people select at random = 2 The probability of one person own dogs is, P(one person own dogs)…

Q: According to a study by Oxford University, 75% of all Brits can do routine computations. If an…

A: p = 0.75 n = 11

Q: suppose that 64% of people own dogs. If you pick two people at random, what is the probability that…

A: Solution: Given information: Let A be the event that people having own dog P(A)= 0.64

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Let p be the probability that a person own dogs.Then,p=0.54.

Q: A two-digit number is formed from the numbers (0,1,2.3,4.5,6) without repetition. What is the…

A: Solution: A two digit number is formed from the number 0,1,2,3,4,5 and 6. without repeating the…

Q: A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any…

A:

Q: Suppose that 21% of people own dogs. If you pick two people at random, what is the probability that…

A: According to the given information, we have Given that 21% of people own dogs. Sample size, n = 2

Q: suppose that 10% of people are left handed. if 9 people are selected at random, what is the…

A: The random variable is left handed people. It follows binomial distribution. The sample size is 9.…

Q: Suppose that 69% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: A very large pool consists of 28% Democrats, 32% Republicans, and the rest independents. What is the…

A: Given data: The given percentage of democrats is D=28%. The given percentage of republicans is…

Q: Suppose that 75% of people in a certain metropolitan area live in the city and 25% of the people…

A:

Q: Suppose that a bag contains 43 red balls, 54 blue balls, and 72 green balls, and that 2 balls are…

A: Given: Bag has 43 R , 54 B , 72 G 2 balls are chosen at random without replacement

Q: Suppose that 10% of people own dogs. If you pick two people at random, what is the probability that…

A: From the provided information, 10% of people own dogs that is p = 0.10 Sample size (n) = 2 X~B (2,…

Q: If 14% of active duty soldiers in the U.S. Army are women. Find the probability that none of the…

A: Let X be the number of women soldier in U.S army from binomial distribution with probability (p)=…

Q: Suppose that 38% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that, Probability, p = 38% = 0.38 Sample size = 2

Q: In a particular lottery, 4 winning numbers are drawn from a set of 36 numbers. What is the…

A: Solution:

Q: Suppose that 44% of people own dogs. If you pick two people at random, what is the probability that…

A: According to the given information, we have 44% of people own dogs.

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

A:

Q: calculator is programmed to generate random whole numbers between 1 and 15 inclusive. If one number…

A: Solution

Q: Suppose that 65% of people own dogs. If you pick two people at random, what is the probability that…

A: We will assume independence.

Q: If a number is selected at random from the first 50 natural numbers, what will be the probability…

A:

Q: Suppose that 15% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: Suppose that 67% of people own dogs. If you pick two people at random, what is the probability that…

A: From the provided information, 67% of people own dogs that is p = 0.67 Sample size (n) = 2 X~B (2,…

Q: A two-digit number is formed from the numbers (0,1,2.3.4,5.6) without repetition. What is the…

A:

Q: Ten peas are generated from parents having the green/yellow pair of genes, so there is a 0.75…

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials,…

Q: Suppose that 31% of students in a college have a smart phone. If you select three students at…

A: Obtain the probability that all three have a smart phone. The probability that all three have a…

Q: Suppose that 52% of people own dogs. If you pick two people at random, what is the probability that…

A: Given52% people of own dogp=0.52n=2Let "x" be the people own…

Q: A random number is repeatedly drawn from 1, 2, . . . , 10. What is the probability that not all of…

A: Given: A random number is repeatedly drawn from 1, 2, . . . , 10.

Q: A group of 30 people is selected at random. What is the probability that at least 2 of them will…

A: Given : A group of 30 people is selected at random.   Question : What is the probability that at…

Q: Suppose that 31% of people own dogs. If you pick two people at random, what is the probability that…

A: Here.  We will use : P(A n B ) = P(A) × P(B) Given data: Suppose that 31% of people own dogs. If you…

Q: Among teenagers old enough to drive, 35% have their own cars. If a marketing research team randomly…

A: We want to find the probability

Q: Suppose that 43% of people own dogs. If you pick two people at random, what is the probability that…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: Suppose that 68% of people own dogs and suppose you pick two people at random. find the probability…

A: From the given information, the percent of people own dogs is 68% and the number of selected people…

Q: Four numbers are selected without replacement from {1,2,3,4,5,6,7}{1,2,3,4,5,6,7} to form a 4-digit…

A: Given Information: Four numbers are selected without replacement from {1,2,3,4,5,6,7} to form a 4…

Q: A group of 20 people is selected at random. What is the probability that at least two of them have…

A: The probability that 1st person having the birthday is 365/365.The probability that 2nd person…

Q: Suppose that 41% of people own dogs. If you pick two people at random, what is the probability that…

A:

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

A:

Q: What is the probability of picking 8 blue balls and 17 red balls from boxes with even numbered…

A: Given, 50 boxes are labeled as 1 to 50 and each box has 1 red and 1 blue ball To find the…

Q: There is a television in 75% of the houses in a city. What is the probability of having a television…

A: We have to find given probability.

Q: Suppose that an Spotify user has stored 10 albums with 12 songs per album. What is the probability…

A: From the given information, Consider,  Total number of albums = 10 Each album have 12 songs per…

Q: Suppose that 51% of people own dogs. if you pick two people at random what is the probability that…

A: Given: The value of 51% of people own dogs includes the pick two people at random. The probability…

Q: Suppose that 36% of people own dogs. If you pick two people at random, what is the probability that…

A: Use the given information to obtain the objective of the problem. The probability that people own a…

Q: Suppose that 68% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: Suppose that 13% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: If each coded item in a catalog begins with 2 letters followed by 3 nonzero digits. If letters and…

A: It is given that a coded item in a catalog begins with 2 letters followed by 3 nonzero digits.

Q: Suppose that 20% of people own dogs. If you pick two people at random, what is the probability that…

A: Givenno.of people own dogs = 0.20

Q: A catalog begins with three distinct letters followed by four distinct nonzero digits. What is the…

A: Given that A catalog begins with three distinct letters followed by four distinct nonzero digits…

Q: Suppose that 65% of people own dogs. If you pick two people at random, what is the probability that…

A: Question 14: Let x denotes the number of people own dogs which follows binomial distribution with…

Q: Suppose we select a number at random from the set {1, 2, ..., 314, 315}. Find the probability that…

A:

Q: A company is to make 5 character codes, the first three characters being letters from the alphabet…

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

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.