The lottery. Many people spend a lot of money trying to win huge jackpots in state lotteries. Let’s play a simpli-fied version using only the numbers from 1 to 20. You bet on three numbers. The state picks five winning numbers.If your three are all among the winners, you are rich!a) Simulate repeated plays. How long did it take youto win?b) In real lotteries, there are many more choices (often54) and you must match all five winning numbers.Explain how these changes affect your chances ofhitting the jackpot.

Q: Assume that you have a 52-card deck at hand and you are planning to draw 6 cards from the deck. How…

A: We have,Number of cards in deck = 52Number of cards are planning to draw from deck = 6

Q: A children’s game has a spinner that is equally likely to land on any 1 of 4 colors: red, blue,…

A: Given that there are total 4 colors. The probability of landing on red is=14The probability of…

Q: casino. Of them 18 play both slots and table games, 35 play table games, and 6 play neither. How…

A: Solution

Q: Example: A box contains six green balls, five red balls, and eight yellow balls. How many ways are…

A:

Q: Let's say you are shopping for a sofa this weekend with a budget of no more than $400. Inside a…

A:

Q: In the board game clue , the object of the game is to determine the which character is the murder,…

A: Given info: In the board game clue , the object of the game is to determine the which character is…

Q: Five people ​(AntoineAntoine​, Byron​,Chloe​,Dennis​,and Emily​)form a​ club, N=​{A, ​B, C,​ D,…

A: The odds against is the ratio of the number of ways that an outcome cannot occur to the number of…

Q: A person is playing a card game in which they receive 3 cards from a dealer. If the order doesn't…

A: The answer is given as follows :

Q: Toward the end of a game of Scrabble, you hold the letters D, O, G, and Q.You can choose 3 of these…

A: The number of ways in which 3 letters can be chosen from 4: Number of ways in which 3 letters can…

Q: The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards, and the order…

A: The number of combinations of 4 card from the set of 52 cards is, n=C452=52×51×50×494×3×2×1=270725

Q: Marleny is creating a game of chance for her family. She has 5 different colored marbles in a bag:…

A: From the provided information is  E(X)=-2*P(X=-2)+p*P(X=p)E(X)=-2*45+p*150=-85+p50=-8+pp=8

Q: Mario and Isabella are playing the Integer Card Game. The cards in their hands are shown: Isabella's…

A:

Q: The following are the rules of the game: One player is chosen to be the "It" that guards the preso…

A:

Q: ten percent of adults say oatmeal is their favorite cookie. You randomly select 12 adults and aks…

A: Given that  Number of trials n=12 Success of probability p=0.10 X~binomial (n,p) nCx = n!/x!(n-x)!

Q: As you entered a casino, an oversized gold bowl containing four dice is presented to you. Pick one…

A: The term probability is defined as the chance of occurrence of an event. The probability value…

Q: The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards, and the order…

A: Given that, The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards Order…

Q: Your friend wants to perform a magic trick and asks you to draw 2 cars from a standard deck of 52.…

A: There are 52 cards in a standard deckIf you choose randomly two cards in a deck, place the first…

Q: Devon, Tony, and Nate were playing a board game. Devon wins when the spinner lands on green. Nate…

A: To make the game fair probability of coming red, green and blue should be equal .

Q: Chandler is a magician performing at a birthday party. Chandler first performs one of 3 card tricks,…

A:

Q: (a) Create a probability distribution for X. Enter the possible values of X in ascending order from…

A: Let X be the random variable of net winning. The amount paid for the game is $6. a. To create a…

Q: XYZ company has designed a new lottery scratch-off game. The player is instructed to scratch off one…

A: The players are instructed to scratch off one spot from A, B, and C.A can reveal loser, win $1, or…

Q: “ You are dealt five cards from a standard deck of 52 cards. How many of these hands have at least…

A: You are taking 5 cards from a pack of 52 cards. you have to determine the number of possible cases…

Q: At the World Goldendoodle Championship, 16 doodles compete to see who is the fluffiest.  The top…

A: To determine: Total ways in which 13 doodles can make top five. Given: At the World Goldendoodle…

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.