Let us assume that the game company has designed a guarantee mechanism to encourageusers to pay for the card. The idea is simple. We randomly shuffled 3 Thanos, 5 Thor, 5Iron Man, 29 Hulk, 29 Captain America, and 29 Loki cards into the pool.1. We simulate 1000 times the following situation: shuffle the deck and draw 100 cardsone by one. What is the average probability of getting at least one "Thanos" in thefirst 30 draws?2. How much higher is the probability of getting at least one "Thanos" in the first 30draws under our guarantee mechanism than without the guarantee? (3. Using the same method, we draw 100 cards and simulate the following probabilitiesfor j = 1,.,98:%3DP (Thanos appears at jth draw Thanos never appeared once in the previous j-1 draws.).make a plot to show the curve of probabilities, where on the x-axis you put j from 1to 100, and on the y-axis, you show the corresponding probabilities.4. What is the theoretical value ofP (Thanos appears at 96th draw Thanos never appeared once in the previous 95 draws.)?Check the simulated value with the theoretical one.

Note :- as per bartleby guidlines i have solved part off first part only. Please post again if u…

Answered: Let us assume that the game company has…

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

Similar questions

In Franklin County, there are about 50,000 registered voters, of whom 15,000 are Democrats. A survey organization is about to take a simple random sample of 1,000 registered voters. There is about a 50-50 chance that the percentage of Democrats in the sample will be bigger than ?
Suppose you play a game where you roll 2 six-sided dice. If you roll a 7, you will lose some money, but if you roll anything else you will win 100. How much money would you have to lose in order for you average 0 per roll?
In a deck of 52 cards, what is the probability of getting a hand of five cards and getting exactly one pair?
A particular gambling game pays 4 to 1 and has a 20% chance to win. Someone will bet $10, 125 times, and keep track of the total amount won or lost. Which of the following boxes will produce the right answers? Check ALL answers that apply. a. 1 ticket labeled $10 and 4 tickets labeled -$10 b. 20 tickets labeled $10 and 80 tickets labeled -$10 c. 20 tickets labeled 1 and 80 tickets labeled 0 d. 1 ticket labeled $40 and 4 tickets labeled -$10 e. 20 tickets labeled $40 and 80 tickets labeled -$10 f. 1 ticket labeled 1 and 4 tickets labeled 0
Your friend offers to place a bet with you. He will pay you $2 if your favorite sports team wins the game on Tuesday night. But you will pay him $3 if his team wins. Your team has an 55% chance of winning, whereas his only has a 45% chance. This bet is in your favor. True or False?
You play a game with two-six sided dice. If you roll a sum of 4 or 7, you win P400 If you roll a sum of 10, you win P200. However, you lose P300 for anything else. If you continue to play the game, how much do you expect to win or lose in the game?
Karey has three movie choices. She can choose between a comedy, a drama, or a thriller. She will want a snack as well. Her choices are popcorn, nachos & cheese, potato chips, or peanuts. What is the probability that she will watch a thriller and eat popcorn?
There is a game of chance called "Lightning Dice" at a charity carnival. It costs $2 to play. The player then rolls 4 dice. If the player rolls 3 or more sixes, then the player wins $30. Otherwise, the player wins nothing. How much can you expect to gain or lose if you play this game 68 times?
Charles has six songs on a playlist. Each song is by a different artist. The artists are Joey McIntyre, Whitney Houston, Aaron Carter, Shakira, Shania Twain, and Phil Collins. He programs his player to play the songs in a random order, without repetition. What is the probability that the first song is by Aaron Carter and the second song is by Joey McIntyre? Write your answer as a fraction or a decimal, rounded to four decimal places. The probability that the first song is by Aaron Carter and the second song is by Joey McIntyre is .
If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the probability Of randomly selecting 3 patients in a row who have the flue?
You pay $20 to enter a raffle. The first ticket drawn wins $1036, the second ticket drawn wins $477, the third through fifth win $186, and the sixth through tenth win $49. Suppose 2345 tickets were sold. What is the expected earning on your ticket?
2. You play a game in which 40% of the time you win $3 and 40% of the time you lose $5 and 20% of the time you win $1. Please show your work.

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS