Answered: Six digits are chosen randomly from the…

Six digits are chosen randomly from the set {0, 1,2,.....9). a.) What is the probability that all six digits are the same? b.) What is the probability that only 2 digits are the same?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: 2. The game of bingo has 15 numbers associated with each letter of the word bingo. For example, the…

A: The game of Bingo has 15 numbers associated with each letter of the word bingo.

Q: A: 50 Students in the 1st class , 15 of them failed in mathematics, 10 of them failed in mechanics…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: John takes 2 coins at random from 4 quarters, 5 dimes, and 3 nickels in his pocket. A) what is the…

A: There are totally 12 coins in John pocket out of which 4 quarters, 5 dimes, and 3 nickels.

Q: Q2 There are N boxes on the table each containing m white and n black balls. Assume you pick…

Q: There are 9 numbers, 1, 2, 3... 9. Three numbers are randomly drawn. a) The three numbers are…

Q: A password is to consist of 3 different digits from the set{3, 5, 7, 9 } followed by 2 not…

A: Given data: The given numbers of digits are D=4. The given numbers of letters are L=4. The…

Q: Find the probability that a patient selected at random has the following characteristics: a) Female.…

A: From the given information in the table, Total number of female = 85 and Total number of the person…

Q: You have the following pairs of socks in your suitcase: 2 white, 1 red, 3 blue and 4 black. A.) If…

A: As Prof. N. G. Das said "If there are n mutually exclusive, exhaustive and equally likely outcomes…

Q: Five students are randomly selected from What is the probability that a) all are girls? b) there are…

A: a) There is a total of students, and we're selecting 5, so the total number of ways to select the…

Q: If 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that:…

A: Sorry, we are not allowed to submit handwritten solutions. a) There are 12 face cards in the deck…

Q: In a daily lottery, a three digit number is selected from 0000-9999. A ticket is a winner if the…

A: You win on Wednesday means the number on ticket matches with the winning lottery number. Similarly…

Q: A college professor hands out a list of 12 questions, 6 of which will appear on the final…

A: The random variable represents the number of questions the students prepared.The distribution…

Q: Which events have the same probability when drawing 4 cards, in this order, from a 52 card poker…

A: In this question, we check which of the event have same probability. here we consider dack of 52…

Q: Two cards will be dealt, one at a time and without replacement, from a standard deck of 52 playing…

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: 24. How many face cards comprise a standard deck of 52 cards? A.) 25. Which of the following is a…

Q: A likely). Given that a 3 appears on the first toss, what is the probability of obtaining outcomes…

Q: 12) There are two boxes, A and B. Box A contains 4 blue balls and 6 red balls, while box B contains…

A: 12) It is given that the probability of choosing box A is 13.

Q: 100 11 12 130 14 Question 20 A box contains ten balls, numbered 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. If…

A: Given information- A box have 10 balls which are numbered 0 to 9. Finding the probability of- a) An…

Q: f 20% of the people in a community use JAC Liner when they go to Manila from Lucena City, find the…

A: Given data, p=20%=0.20 n=20

Q: From a lot of 15 missiles, 5 are selected at random and fired. If the lot contains 3 defective…

Q: 4. 5 balls in a box, three are red, and two are white. f two balls are drawn together from the box,…

A: Given: Total number of balls =5 A number of red balls = 3 A number of white balls =2

Q: 6. A consulting firm has received 2 NBA playoff tickets from one of its clients. To be fair, the…

A: Given that there are two NBA tickets and two different employees out of; 10 secretaries 5…

Q: Five cards are dealt from a standard deck of cards (52 cards, 13 hearts, diamonds, spades, clubs)…

Q: A bad contains 3 black balls (B) and 5 white balls (W). Paul picks a ball at random from the bag and…

Q: a) In a private school students can choose only of French, Spanish or Music as their Elective. In a…

Q: Let ? = {5, 10, 15, ⋯ ⋯ ⋯ ⋯ ,90, 95, 100}.When a number is randomly chosen from the set S, let the…

Q: Suppose that 8 cards, of which four are red, two are green and two are blue, are placed at random in…

A: We have given that 8 cards, of which 4 are Red, 2 are Green and 2 are Blue, are placed at random in…

Q: In roulette, a wheel with 38 numbers is spun. Of these 38 numbers, 18 are red, 18 are black and the…

Q: What is the notation? b) Give the PMF c) What is the probability that, in the car, all senior…

A: In a certain group of community, a group of 10 adults consisting of 4 citizens planned to go on an…

Q: The two last subparts please (d and e

A: (d) The number of numbers from 1 to 1000 divisible by 5 is 1000/5=200. If we want to count the…

Q: Suppose you have a class with 30 students ‒ 10 freshmen, 12 sophomores, and 8 juniors. a) You pick…

Q: the four boxes numbered 1,2,3 and 4. Box-1 2000 balls, 5% white Box-2 500 balls, 40% white Box-3 and…

A: We have given that, Box 1: 2000 balls ,5% white Box2: 500 balls ,40% white Box3,Box4, 1000 balls…

Q: 10 cards numbered 1-10 are Shuffled. The top and bottom Card are chosen. S: Sum of the two cards.…

A: We assume Var(X) is a typo of Var(S) as there is no X in the problem. Let X be a random variable.…

Question

Six digits are chosen randomly from the set

{0, 1,2,.....9). a.) What is the probability that all six digits are the same? b.) What is the probability that only 2 digits are the same?

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information:

VIEW

Step 2: a) Probability that all six digits are the same:

VIEW

Step 3: b) Probability that only 2 digits are the same:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A player is dealt 3 cards from a standard 52-card deck. Determine the probability of being dealt two of a kind (such as two aces or two kings) by answering questions a through d. ... a) How many ways can 3 cards be selected from a 52-card deck? There are ways that 3 cards can be selected from a 52-card deck. (Type a whole number.) b) Each deck contains 4 twos, 4 threes, and so on. How many ways can two of the same card be selected from the deck? There are ways that two of the same card can be selected from the deck. (Type a whole number.) c) The remaining card must be different from the 2 chosen. After selecting the two of a kind, there are 12 different ranks of cards remaining in the deck that can be chosen. Of the 12 ranks remaining, the player chooses 1 of them and then selects one of the 4 cards in the chosen rank. How many ways can the player select the remaining card? There are ways the player can select the remaining card. (Type a whole number.)
a) Four married couples have bought 8 seats in the same row for a concert. In how many different ways can they be seated: i. Without any restrictions? If each couple is to sit together? iii. If all the men sit together to the right of all the women? b) If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a dictionary, what is the probability that: i. the dictionary is selected? ii. 2 novels and 1 book of poems are selected? ¢) Inahigh school graduating class of 100 students, 54 studied mathematics, 69 studied ry, and 35 studied both mathema and history. If one of these students is selected at random, find the probability that i. the student did not take either of these subjects? ii. the student took history but not mathematics?
only D
I get to draw two buttons from a bag with 3 Cardinal and 6 Gold buttons (without replacement, order does not matter).What is the probability that I get one of each color? a. 1/2 b. 5/9 c. 4/9 d. 1/3 e. None of the other answers is correct.
Example: Let we have a group of 20 students, 7 are taking Maths and of these 3 are also taking Biology. 5 are taking neither. What is the probability [ that a student chosen at random is taking: a) Biology? B) Math or Bio?
4) One number is randomly picked from 1 to 120. a) How many numbers are multiple of 3 or multiple of 5, or both? b) What is the probability to pick TWO numbers (no repeats), which are both "multiples of 3, but not multiples of 5?" Answer in (1 in ___)
A jar has 2 red marbles 2 blue marbles. Two marbles are chosen from the jar without replacement. a) The probability that the marbles are the same color is b) The probability that at least one of the marbles is red is c) The probability that the marbles are NOT the same color is
A)Five sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can the gold, silver, and bronze medals be awarded? B)At the College of Charleston, it was found that 70% of students are taking a home economics class, 77% of students are taking a Spanish class, and 66% of students are taking both. Find the probability that a randomly selected student is taking a home economics class or a Spanish class. You may answer with a fraction or a decimal rounded to three places if necessary.
please all parts
A) From a city population, the probability of selecting a male or graduate is 0.65, a male and a graduate is 0.42, a male given that he is a graduate is 0.64, then find the probability of selecting a non graduate?