Lotto America is a daily game consisting of betting $1 on one of any three digit random nonnegative integers from 000 to 999. If your number is selected, you are returned $500. What is your expected value if you choose one number to play the game? Suppose you play the game every day for 500 consecutive days. How much can you expect to win or lose playing the game for 500 consecutive days

Q: You are ordering a hamburger and can get up to 8 toppings, but each topping can only be used once.…

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Q: Suppose that you and a friend are playing cards and decide to make a bet. If your friend draws two…

A: There are 52 cards in the standard deck of cards. There are 13 spade cards in the standard deck of…

Q: Ethan needs an even number on his next two rolls using the number cube to win the game he is…

A: Given: Number of sides = 6 Number of even side numbered = 3 (2,4,6)

Q: You ask a friend to think of a number from 4 to 10. What is the probability that his number will be…

A: S= number from 4 to 10 = {4,5,6,7,8,9,10} A = number will be a multiple of three = {6,9}

Q: A science class has six girls and two boys in the seventh grade and one girl and 7 boys in the…

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Q: The probability of being dealt a full house e from a standard deck of 52 cards e is 18 divided by…

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

Q: In the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00.…

A: In the question, given that:There is a wheel with spaces marked 0 through 36 and a space marked 00.

Q: Latanya recorded the grade-level and instrument of everyone in the middle school School of Rock…

A: To calculate the probability, we first need to know the total number of outcomes. In this case, the…

Q: You are ordering a hamburger and can get up to 7 toppings, but each topping can only be used once.…

A: 4 toppings can be chosen from 7 by 7C4 Ways 7C4 =

Q: A junk drawer at home contains six pens, two of which work. What is the probability that you…

A: The objective of this question is to find the probability of picking three pens from a drawer…

Q: You pick 5 digits (0-9) at random without replacement, and write them in the order picked. What is…

A: Given data:     The given numbers of digits are: n=10.     The expression for choosing 5 digits and…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: A player rolls a fair dice and gets "$3 multiplied by the value on the dice" in the case of even…

A: Basic concepts of probability are used.

Q: Suppose you receive a bouquet of flowers that contains 7 red roses, 12 white daisies, 2 yellow…

A: The first step in solving this problem is to determine the total number of flowers in the bouquet.…

Q: Heather attended a music store's banjo sale. She counted the types of banjos and made note of their…

A: Given data is    25% off 50% off Total 4 strings 2 2 4 5 strings 4 2 6 Total 6 4 10

Q: One of the wagers in roulette is to bet that the ball will stop on a number that is a multiple of 3.…

A: Given Information: The roulette wheel includes the numbers 0, 00, and 1 to 36. 0 and 00 are not…

Q: w do you solve a question containing probabilit

A: The probability could be defined as a number that always fall between 0 and 1 where 0 implies the…

Q: Find the probability of getting a sum of 9 when you roll a pair of dice. the answer is

A: if you roll a pair of dice than the possible out comes aren(s)=36The possible out comes that a sum…

Q: A quiz consists of 2 true-false questions and 4 multiple-choice questions (each with 4 choices with…

A: Given data Quiz consists of 2 true-false questions 4 multiple-choice questions Total question = 2+4…

Q: You pay $20 to enter a raffle.  The first ticket drawn wins $912, the second ticket drawn wins $481,…

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Q: individual chooses a number from 1 to 10. What is the probability that the number is even? Write…

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Q: 1. A royal flush is the most powerful poker hand. It consists of the five highest cards in a single…

A: Given: Pick 5 cards at random from a deck of cards containing 52 cards. To Find: Probability of…

Q: A junk drawer at home contains six pens, three of which work. What is the probability that you…

A: Given that a junk drawer at home contains six pens, three of which work.We have to grab two pens…

Q: Mikael Gabriel, the famous Finnish rapper, does speak English, but he has never studied Finite Math.…

A: It is given that the total number of questions is 5 and 8 answers per each question. The probability…

Q: A quiz consists of 10 multiple-choice questions. Each question has 5 possible answers, only one of…

A: Given Data: The number of multiple-choice question is: n=10 The total  number of possible answers…

Q: A bag contains 9 blue marbles, 10 red marbles, 4 white marbles. If one marble is drawn from the bag…

A: Given Information: A bag contains 9 blue marbles, 10 red marbles, 4 white marbles. Total number of…

Q: Find the probability that you will draw the 2 of diamonds first, 6 of hearts second, ace of spades…

A: The number of cards in a deck of cards is 52.

Q: Find the probability of winning second prize—that is, picking five of the six winning numbers—with a…

A: We can select any 6 numbers from 54 numbers in 54C6 ways. (this is the total number of ways)   We…

Q: Find the probability of flipping tails on a fair coin. List the answer as a decimal?

A: Probability = no. Of favourable events/ no. Of total events

Q: The actual cards “Will Bill” Hickok was holding when he was shot were the aces of spades and clubs,…

A: Introduction: A standard deck has 52 cards.

Q: find the probability of being dealt a hand of four cards from a standard deck that contains all four…

A: find the probability of being dealt a hand of four cards from a standard deck that contains all…

Q: You are dealt one card from a 52-card deck. Find the probability that you are not dealt a card with…

A: Given Total number of cards in a deck(n)=52

Q: A fair die is rolled five times. A 5 is considered "success," while all other outcomes are…

A: roll a fair die five timessuccess : Roll a 5P(getting 1 success) = ?

Q: A radio disc jockey has 8 songs on this upcoming hour's playlist: 3 are rock songs, 2 are reggae…

A: Given information: Total number of songs on this upcoming hour's playlist = 8 Number of rock songs =…

Q: The chance of winning Florida's Pick-6 Lotto game is 1 in approximately 23 million. Suppose you buy…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: You pay $20 to enter a raffle.  The first ticket drawn wins $964, the second ticket drawn wins $522,…

A: The expectation of a discrete random variable X, denoted by E(X), is defined as a measure of central…

Q: In a Roulette game, a ball falls onto a spinning wheel and randomly ends up in one of 37 pockets.…

A: Given the experiment of the Roulette game, a ball falls onto a spinning wheel and randomly ends up…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.