How many strings of seven hexadecimal digits do not have any repeated digits?   How many strings of seven hexadecimal digits have at least one repeated digit?   What is the probability that a randomly chosen string of seven hexadecimal digits has at least one repeated digit?

Q: A new computer user creates a password consisting of one letter followed by a one-digit number (0 –…

A: Given data: The total number of digits is n=10. The total number of the alphabet is A=26.   The…

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: Consider playing a 6/55 Lottery. This means a gambler selects Any of the numbers from one to 55…

A: Step 1:1. To calculate the number of ways to choose six numbers from 55, we can use the combination…

Q: You pick 7 digits (0-9) at random without replacement, and write them in the order picked.What is…

A:

Q: Five laptops are randomly selected from a lot of 100 laptops among which 15 are defective.  Find the…

A: Answer: Given that: p=P(laptop is defective )=15/100=0.15 , n= 5 now will use Binomial…

Q: A jar contains 19 red balls, 28 green balls, and 36 yellow balls. A sequence of three balls is…

A: A jar contains 19 red balls, 28 green balls, and 36 yellow balls. A sequence of three balls is…

Q: The probability that at least one of three balls is red or yellow

A: Given Jar containRed balls = 19Green balls = 28Yellow balls = 36Total balls = 83Probability that at…

Q: The lottery system in Hungary uses the random selection of 7 integers from a group of integers…

A: Favorable cases = 7 integersTotal cases         =9 integers

Q: A music fan randomly selects 4CDs from a stack of 35, where 6 are by the same country western…

A: We have given that  A music fan randomly selects 4CDs from a stack of 35, where 6 are by the same…

Q: If a number is chosen randomly from the set of numbers {1,2,3,4,...,10} find the probability of…

A: If a number is chosen randomly from the set of numbers {1,2,3,4,...,10} Prime number = 2,3,5,7

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: 2. Each individual letter of the word Georgia is placed on a piece of paper, and all 7 pieces of…

A: Suppose each individual letter of the word "Georgia" is placed on a piece of paper.All  pieces of…

Q: If n people are present in a room. How large n need to be so that the probability of no two of them…

A:

Q: A standard piano keyboard has 88 different keys. Find the probability that a cat, jumping on 3 keys…

A: Given For 1) First three notes of Beethoven's fifth symphony For 2) Red=4 Green=2 Transparent=1…

Q: What is the probability that a randomly chosen divisor of 3049 is a multiple of 60º?

A: 3049 = 249×349×549So the number of factors = (49+1)(49+1)(49+1) = 125000 factors6019 =…

Q: A number between 1 and 100 (including 1 and 100) is drawn at random. What is the probability that…

A: From the provided information, A number between 1 and 100 (including 1 and 100) is chosen randomly.…

Q: A jar contains 19 red balls, 28 green balls, and 36 yellow balls. A sequence of three balls is…

A: Number of red balls in a jar = 19 Number of green balls in a jar = 28 Number of yellow  balls in a…

Q: A lottery game has players selecting 5 numbers at random from the numbers 1–55. The state picks 20…

A:

Q: east 1 Democrat. What is the probability that the new subcommittee will c

A: There are 7 republicans and 10 democrats.  Therefore, the total subcommittee of 5 members is C517.…

Q: umbers from 1 through FFFF have at least one repeated digit? 2. What is the probability tha

A: From given: The hexadecimal has 16 digits.

Q: A 5/34 lottery is a game where a player wins if they select any 5 of the numbers from 1 to 34.  Find…

A: Here probability of winning is 5/34 = 0.1471 We want to find the probability that all 5 numbers are…

Q: What  is the probability that a hand of 5 cards chosen at random from a standard deck of 52 cards…

A: The 5 cards chosen need to have an odd number of cards from each of the four suits. There are 4…

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.