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: In a particular lottery, 5 winning numbers are drawn from a set of 41 numbers. What is the…

A: We have to find the probability of picking exactly 2 of the winning numbers in this lottery

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: 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: In the Lotsa Millions Lottery, players pick 7​​ numbers from between 1​ and 37​. The order of the…

A: In the Lotsa Millions Lottery, players pick 7​​ numbers from between 1​ and 37​.

Q: In a 52-number lottery, what is the probability that you will get the winning ticket (6 numbers out…

A: Given : Total number of lottery = 52

Q: A combinarion lock requires a user to select 3 numbers to unlock it, where all 3 numbers are between…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.it…

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: An AIMS student walked into a room where he found N pieces of wire. After finding the 2V ends, he…

A: To find the expected number of loops formed from joining the wire ends, let's approach it step by…

Q: In a particular lottery, 6 winning numbers are drawn from a set of 39 numbers. What is the…

A: We have to find the probability of picking exactly 2 of the winning numbers in this lottery

Q: In a bag filled with 35 pcs. of marbles, 12 are blue, 5 are green, 3 are white, 10 are red and 5…

A: The possible chance of occurrence of an event is calculated using the probability. It is calculated…

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: A thief steals an ATM card and must randomly guess the correct 3-digit pin code from a 6-key keypad.…

A: Given A 3 digit pin is to be guessed randomly from a 6 key keypad and repetitions of digits is…

Q: Every time you flip a coin 10 times, you get either a head or a tail. How many different results…

A:

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: Given 12 civillians each wearing an earring and each of them have different or unique designs. If…

A: From the given information we find the probability.

Q: A committee consist of 10 women and 12 men. Three committee members will be chosen as officers. How…

A: I explained all things in image refer image you understand everything Explanation:Step 1: Step…

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: The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e…

A:

Q: Each multiple choice question consisting of 5 choices has just one correct answer. If a student…

A: The probability that the answer is correct is 0.2 There are 10 questions so use Poisson model to get…

Q: The top 40 qualified applicants for a scholarship are identified and 4 are selected at random to…

A:

Q: The access code for a safe consists of three digits. Each digit can be any number from 0 through 7,…

A: three digit access code, each digit can be any number from 0 to  7 .  digits can be repeated.…

Q: A club at CBC has 6 History Majors, 5 English Majors, and 8 Psychology Majors. If a committee of 3…

A: It is given that there are 6 History, 5 English, and 8 Psychology Majors. Thus, Consider that n is…

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: A university is putting together a hiring committee of 9 members for the next university provost.…

A: From the provided information,Total members = 4 + 9 + 11 = 24A committee of 9 members is hired.

Q: Twenty thousand people are chosen at random in Istanbul. The probability that there are no…

A: Given: P(No left handed people)=0.0183 P(Left handed people)=1-PNo left handed…

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: 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: What is the probability of a correct guess on the first try?

A: Total number of keys= 6 It is given that repetition is allowed. Thus, Total number of ways first…

Q: ,The Powerball lottery is played twice each week. To play Powerball, a participant must select 5…

A: Introduction: Given that the Powerball lottery is played twice each week. To play Powerball, a…

Q: What is the probability of a correct guess on the first try?

A: here total 10 key on pad and repetation is allowed.

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.