The personal identification numbers (PINs) for automatic teller machines (ATMs) usually consist of four digits.  Suppose PINs are assigned at random so that all  4-digit numbers are equally likely.  How many possible PINs are there?

Q: A bank requires its customers to create a 5 -digit PIN. A certain customer has forgotten their PIN…

A: Each digit of the password can be one of 10 possible digits (0-9) There are 5 digits  password pin…

Q: Suppose repetitions are not allowed. Randomly pick up a three-digit number that is formed from the…

A: The objective of this question is to find the probability that a randomly picked three-digit number,…

Q: When testing for a current in a cable with 12 color coded wires, the author used a meter to test 4…

A:

Q: A new smart phone comes in five colors, two screen sizes and with four different data plans. In how…

A: It is given that a new smartphone comes in five colors, two screen sizes, and four different data…

Q: When testing for current in a cable with ten ​color-coded wires, the author used a meter to test…

A: Combination: According to the combination rule, if r distinct items are to be chosen from n items…

Q: A shipment of 95 TV sets is received. Five sets are to be chosen at random and tested for defects.…

A: Here we have Number of TV sets (n) = 95 Number of sets to be choosen (r) = 5 Here we will we the…

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 machine can give a signal by using five lights in a row. Each light can be either on or off. How…

A: There are total five lights and each of the lights is either on or off.

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: When testing for current in a cable with twelve ​color-coded wires, the author used a meter to test…

A: Given n=12 r=2

Q: When testing for current in a cable with eight ​color-coded wires, the author used a meter to test…

A: From the given information, there are eight color-coded wires and author tested five wires at a…

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

A: Solution

Q: According to an autograph association, only 8% of autographs in cirrculation from a certain band are…

A: Let x be the number of authentic and non-authentic autographs in circulation.Given that, 8% of…

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: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

A:

Q: Suppose repetitions are not allowed. Randomly pick up a three-digit number that is formed from the…

A: The objective of this question is to find the probability that a randomly picked three-digit number,…

Q: When testing for current in a cable with six color-coded wires, the author used a meter to test four…

A: According to the given information, Total number of color-coded wires n = 6 Number of wires needed…

Q: The access code for a​ car's security system consists of six digits.  The first digit cannot be 5…

A: We are given that the access code for a​ car's security system consists of six digits.  The first…

Q: According to one study conducted at the University of Texas, 70% of all Americans can do routine…

A: Here we can use binomial distribution with probability of success is p and number of trials is n.…

Q: Tennis balls are randomly toss into one of five trays. Determine the number of balls needed to…

A:

Q: There is money to send four of seven student council members on a trip to Washington DC. All want to…

A: Given Information: Number of members = 7  Number of members to be send for trip = 4

Q: When testing for current in a cable with twelve ​color-coded wires, the author used a meter to test…

A: Given, Number of different wires= 12 number of wires tested at a time= 3   Therefore number of…

Q: When testing for current in a cable with six color-coded wires, the author used a meter to test four…

A: Using the combination formula the required number of tests can be obtained as:

Q: A thief steals an ATM card and must randomly guess the correct five​-digit pin code from a 7​-key…

A: We have 5 digit pin and 7 choices per each digit of pin Because repetition is allowed, for each…

Q: When testing for current in a cable with twelve color-coded wires, the author used a meter to test…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

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: When testing for current in a cable with eleven color-coded wires, the author used a meter to test…

A: The combination formula is shown below. Here, n represents the total number of objects and r…

Q: If a coin is flipped five times, how many times would it land on tails?

A: Solution  When flipping a coin five times, the number of times it lands on tails can vary. It could…

Q: Suppose that 15 athletes are competing in a final at the Olympics. In how many ways can the medals…

A: Given: 15 athletes are competing in a final at the Olympics. The objective is to find the number of…

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.