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: A section of a test has four true-false questions. A completed test is selected at random and the…

A: To find out all the 16 outcomes:

Q: Males 2-11 Females 2-11 Males 12-17 Females 12-17 Males 18-34 Females 18-34 Males 35-49 Females…

A: Given data, Gender and Age grou[ Relative frequency Males 2-11 0.134 Females 2-11 0.116…

Q: in order to conduct an experiment, 5 subjects are randomly selected from a group of 34 subjects. How…

A: given data select 5 subjects from group of 34 subjects   No. of different groups of 5 subjects…

Q: A club must choose 5 people to represent them at the National convention. The people will be chosen…

A: Given information- We have given a club that has to choose 5 members out of 32 club members. We use…

Q: A physicist intended to select three out of the rainbow colour in an experiment, what are the…

A: Given: We need to select three out of the rainbow colors .

Q: From a group of 11 people, you randomly select 2 of them.What is the probability that they are the 2…

A: Combination: A combination is a selection of objects without considering the order.Let n be the…

Q: If the numbers 10, 22, 24, 26, 28 are put in a hat, the probability of drawing any of the five…

A: Put 5 numbers in a hat : 10,22,24,26,28 Here all 5 numbers are equally likely to select and…

Q: How many 4-member committees can be formed from a group of 7 people?

A: From the given information ,Total number of people , n = 7 Using formula ,

Q: Several states have an annual raffle called the Millionare Raffle. A ticket with a unique 6-digit…

A:

Q: A math teacher chooses   8    students at random from a class of   38  to solve a problem at the…

A:

Q: Imagine that your ATM card had a 4 digit code, but you can only choose from 7 options, i.e. the…

A: Given: ATM card had a 4 digit code and had numbers from 1-7. The repetition of digit is allowed.

Q: In a lottery game, a player picks 8 numbers from 1 to 49. If 6 of those 8 numbers match those drawn,…

A: 1) number of ways to choose 4 winning numbers from possible 6 numbers =(8C6)=28 2) number to choose…

Q: A lock consists of all 3 dials, where each dial has 4 letters. What is the probability of guessing…

A:

Q: In order to conduct an​ experiment, 5 subjects are randomly selected from a group of 48 subjects.…

A: The total number of subjects is 48 and the size of the group of subjects to be selected is 5, so use…

Q: A lock consist of 4 dials. Where each dial has six letters. what is the probability of guessing the…

A: From the provided information, A lock consists of 4 dials, where each dial has six letters.

Q: A 5-digit number is formed from 1, 2, 3, 4 and 5. What is the probability that the number ends in…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

Q: Each student in a class of 30 was randomly assigned one line of a random number table. Each student…

A: Here, it is clear that 50% of odd digits and 50% of even digits.

Q: a three digit number is made by choosing 2,3,5,7,8. what is the probability that the number chosen…

A:

Q: n order to conduct an​ experiment, 5 subjects are randomly selected from a group of 40 subjects.…

A: Given data, Total number of subjects n=40 Number of randomly selected subjects r=5 How many…

Q: An environmental education club has 318 members. Select all methods that would select a sample of 20…

A: the process of taking out some part of the population is called sampling. there are some techniques…

Q: The access code for a gym locker consists of three digits. Each digit can be any number from 0…

A: Given that the gym locker code consists of three digits, where each digit can be from 0 through 5,…

Q: A lock consists of 2 dials, where each dial has 4 letters. What is the probability of guessing the…

A: Experiment : Guessing the combination Event: Guessing the right combination.

Q: From a group of 10 people, 2 are randomly selected. What is the probability the 2 oldest people in…

A: Given that there are 10 people and 2 are selected randomly.

Q: n order to conduct an​ experiment, 5 subjects are randomly selected from a group of 44 subjects. How…

A: Given data,   Total subjects (n) = 45 Number of subjects that are randomly chosen (r) = 5  How many…

Q: In order to conduct an experiment,  5 subjects are randomly selected from a group of 43 subjects.…

A: It is given that there are 5 subjects (s), and all the subjects are randomly selected from a group…

Q: The access code for a gym locker consists of three digits. Each digit can be any number from 1…

A: From the given inforrmationtotal number of digits = 8 ( from 0 to 8 )Number of digits in gym locker…

Q: A thief must randomly guess a correct 5 digit code from a 8 key keypad. What's the probability of…

A: It is given that a thief must randomly guess a correct 5 digit code from 8 key keypad.

Q: In order to conduct an​ experiment, 5 subjects are randomly selected from a group of 50 subjects.…

A: According to the provided information, 5 subjects are randomly selected from a group of 50 subjects.…

Q: Set D = {(x, y) ∈ R2: 0 ≤ x ≤ 1, 0 ≤ y ≤√x} and let (X, Y) be evenly distributed on D Calculate P…

A: The joint probability density function of (X,Y) is evenly distributed on D So, Joint PDF Of (X,Y) ,…

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.