(d) How many odd integers from 1,000 through 9,999 have distinct digits?   (e) What is the probability that a randomly chosen four-digit integer has distinct digits?   What is the probability that a randomly chosen four-digit integer has distinct digits and is odd?

Q: 24. A 4-digit number will be made using the digits {1, 2, 4, 5, 7, 8, 9}. a) How many 4-digit…

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Q: Select uniformly at random a permutation of {1, 2, ..., 100}. What is the probability that in the…

A: First need to define Sample space and Event of given scenario. Selecting at random, a permutation of…

Q: a number is selected at random from the first 600 positive integers, what is the probability of…

A: From the provided information, A number is selected at random from first 600 positive integers.…

Q: 2 How many 7-digit numbers can be formed from the digits 1, 1, 2, 2, 4, 4 and 5 if repetition is not…

A: 2 a. The total number of ways 7-digit number can be formed from the digits 1, 1, 2, 2, 4, 4, and 5…

Q: n one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: The player can pick 5 numbers from 45 numbers in 45C5 ways. (white balls) And 1 number from 32…

Q: 1. A committee of 6 is chosen from a group consisting of 8 juniors and 6 sophomores. In how many…

A:

Q: four-digit number, in the range 0000 to 9999 inclusive, is formed. find the probability that a) the…

A: Here we will use Fundamental of counting principle and Basics of probability

Q: (a) The probability that more than (> ) 45 missiles will be off-target is (Round to four decimal…

A: Given: Let X = number of off-targets  P( off - target) = p = 0.10 n = 350 When Normal approximation…

Q: 1. A student came to pass an exam knowing only 38 questions of 50. What is th probability that he or…

A: SOLUTION

Q: 1. A three- digit number with no repeated digits is made from the digits1 to 7. What is the…

A: As per Bartleby guidelines, we are supposed to solve only one question when multiple questions are…

Q: Problem:- If k people are at a party, what is the probability that at least two of them have the…

A:

Q: (a) How many integers are there from 1,000 through 9,999?   (b) How many odd integers are there…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: f an interger is randomly selected from all positive 2-digit integers, what is the probability that…

A: First let us find total number of ways two digit number can be constructed. Unit place can take any…

Q: 1. A six-face die which contains numbers of dots from 1 to 6 is rolled once. Find the probability of…

A: if a die is rolled than the possible outcomes areS=1,2,3,4,5,6

Q: Finite: here are nine women and five men on a committee. A subcommittee of two people is selected at…

A: According to the sum, nine women and five men on a committee.  A subcommittee of two people is…

Q: b) Three distinct numbers between 10 and 25 (inclusive) are chosen at random. What is the…

A: Question: Three distinct numbers between 10 and 25 (inclusive) are chosen at random. What is the…

Q: Question: An integer N is selected from {1,2, ...,10³} uniformly at random, i.e. N is equally likely…

A: Given :An integer N is selected from {1,2,...,103} uniform at random.i.e. N is equally likely to…

Q: You randomly select an integer from 0 to 24 (inclusively) and then randomly select an integer from 0…

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Q: 41. In the Illinois state lottery game "Little Lotto," a player wins the grand prize by choosing the…

A: consider a group of 5 numbers from 1 through 39. objective is to find the probability that aplayer…

Q: A box containing a sheet of paper numbered 1-15, so if you randomly withdraw a piece of paper from…

A: Sample space: The sample space is the set of all possible outcomes in a statistical experiment.…

Q: 23. a. How many integers from 1 through 1,000 are multiples of 4 or multiples of 7? b. Suppose an…

A:

Q: - It is equally probable that the pointer on the spinner shown will land on any one of the eight…

A: Let A be the event that points stops at even number  Therefore, A = { 2, 4, 6, 8} And B the event…

Q: 2. A bowl contains 15 chips numbered 1 to 15. If a chip is drawn randomly from the bowl, what is the…

A: Given that  A bowl contains 15 chips number 1 to 15

Q: 67% of Americans on a pet. If a random sample of 10 American households is selected, find the…

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Q: 8) Suppose that in a lottery game you are to pick five different integers between 1 and 50,…

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Q: A number is chosen at random from the positive, even integers from 2 to 50. Find the probability…

A: First add the total number then add the total favorable number then use formula.

Q: 15. *In modeling the number of claims filed by an individual under an automobile policy during a…

A: By definition P0 is the probability that the individual will file no claims. Then P1=1/5 P0,…

Q: Probability question

A: We can pick 5 different integers from 1 to 50 in 50C5 ways.  We can pick 1 integer between 1 to 40…

Q: a) A bag of 11 marbles contains 5 marbles with red on them, 3 with blue on them, 7 with green on…

A: Hello! As you have posted 2 different questions, we are answering the first question . In case you…

Q: In a certain state's lottery, 30 balls numbered 1 through 30 are placed in a machine and 5 of them…

A: Given data There are 30 balls numbered from 1 to 30. 5 balls are drawn at random.

Q: True or false: The probability that a positive integer selected at random from the set of positive…

A: The number of positive integers in 1 to 100 is 100.Let us denote A=divisible by 3 B=divisible by…

Q: A lottery box contains lottery tickets numbered 0 to 100. If a lottery ticket is drawn at random,…

A:

Q: A random number generator picks a number from 1 to 21 in a uniform manner.    The probability that…

A: Given information X ~ Uniform (α = 1, β = 21) Uniform distribution

Q: 1. In how many ways it is possible for 15 students to arrange themselves among 15 seats in the front…

A: Arrangement of students is problem of permutation. The number of ways to arrange r objects among n…

Q: In how many ways can we form a five-person government from a group of 50 if:   the government is…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 6) Suppose you are randomly assigned a 6 digit password for you West Valley portal account where the…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: 9 involving the subcommittee. For this problem, assume that the committee contains 5 men and 10…

A: Given, the committee contains 5 men and 10 women and that three are selected at random for a…

Q: At a certain company, passwords must be from 3–5 symbols long and composed from the 26 uppercase…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Suppose that 71% of the surface of the Earth is covered in water, and a random number generator uses…

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Q: You have the following numbers from zero to nine 1- How many single digits and tens of these numbers…

A: 1) From 0 to 9 there are 10 digits.    We can select a single digit in 10 ways. When the unit digit…

Q: Let A denote the event of placing a $1 straight bet on a certain lottery and winning. Suppose that,…

A: Let A denote the event of placing a $1 straight bet on a certain lottery and winning.

Q: 15. A bowl contains 15 chips numbered 1 to 15. If a chip is drawn randomly from the bowl, what is…

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

Q: hts: 0 of You randomly select an integer from 0 to 19 (inclusively) and then randomly select an…

A:

Q: Example 4: A class consists of 6 girls and 10 boys. If a committee of 3 is chosen at random from the…

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Q: 7. Two numbers (not necessarily integers) are chosen at random between 0 and 10. What is the…

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Q: A number is chosen at random from the whole numbers between 1 and 13, inclusive. (a) What is the…

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Q: 3\ 5. 4. ...

A: Given

Q: 4. The digits 1, 2, 3, 5, 7, and 8 are randomly arranged to form a six-digit number. What is the…

A:

Q: a) How many positive three-digit integers are multiples of 7?   (b) What is the probability…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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.