You are going to play the 7-11 game, which has the following rules: You rolltwo dice. If the total value of the two dice is 7 or 11, you immediately winthe game. If the total value is 2, 3, or 12, you immediately lose. If the totalvalue is 4, 5, 6, 8, 9, or 10, you keep this value as a referenced point. Then,you continue rolling the dice until you obtain the same value as thereferenced point then you win the game. However, if you obtain the value of7 before the referenced point, then you lose. For example, you obtain 4 inthe first time of rolling, you keep rolling the dice until you get 4 (before 7)then you win. Similarly, you obtain 4 in the first time of rolling, you keeprolling the dice but you get 7 (before 4) then you lose.What is the probability to win this game?You can solve this question either by- a simulation - in this case you have to answer one more question, i.e.,on average how many times do you roll the dice for each game? (for asubmission, you will need to present the code);or treating this problem as a probability problem.

The player throws 2 dices and if the sum is 7 or 11 person wins the gameIf the sum is 2,3, or 12…

Answered: You are going to play the 7-11 game,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Español Kaitlin is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Kaitlin spins the spinner once. She wins $1 if the spinner stops on the number 1, $3 if the spinner stops on the number 2, $5 if the spinner stops on the number 3, and $7 if the spinner stops on the number 4. She loses $6.50 if the spinner stops on 5 or 6. (If necessary, consult a list of formulas.) 00 (a) Find the expected value of playing the game. | dollars (b) What can Kaitlin expect in the long run, after playing the game many times? O Kaitlin can expect to gain money. She can expect to win dollars per spin. O Kaitlin can expect to lose money. She can expect to lose dollars per spin. O Kaitlin can expect to break even (neither gain nor lose money). Save For Later Submit Assignment Check 2022 McGraw HilL LLC. AlLRiahts Reserved. Terms of Use Privacy Center Accessibility étv 8 MacBook Air DII F9 F10 F11 F7…
After giving the lotto a try you decide to go back to Clayton Campus for some more gambling action. Theyare playing a die tossing game where you win a brand new home if you roll all sides of the die within 7rolls. Your crystal ball can see into the future and tells you that when you roll the die 7 times you don't seethe same number appear twice in a row. You decide to bet your entire rent for the year and try to win thehouse. You toss a fair six-sided die 7 times. Consider the following events, A = “each value appears atleast once” and B = “the outcome is alternate in numbers (i.e., a specific face of the die cannot be observed to occur directly after it was observed on the previous roll but it may have occurred elsewhere inthe sequence of rolls)”. What is p(A|B)? Are you likely to win the house?
You are given the chance to play one of two games: One where there is a 20% chance of you winning 8 dollars and an 80% chance of winning 128 dollars. For the second game you have a 20% chance of winning two dollars and an 80% chance of winning 256 dollars. Which lottery is worth more on average, and how much is it worth discrete math
You are rolling two dice, one red and one green. Now suppose we only care about sum of the dice. What are the different outcomes and their frequencies?
Zara and Sue play the following game. Each of them roll a fair six-sided die once. If Sue’s number is greater than or equal to Zara’s number, she wins the game. But if Sue rolled a number smaller than Zara’s number, then Zara rolls the die again. If Zara’s second roll gives a number that is less than or equal to Sue’s number, the game ends with a draw. If Zara’s second roll gives a number larger than Sue’s number, Zara wins the game. Find the probability that Zara wins the game and the probability that Sue wins the game. Note: Sue only rolls a die once. The second roll, if the game goes up to that point, is made only by Zara.
A technology store holds a contest to attract shoppers. works: An ace and four other cards are shuffled and placed face down on a table. The customer gets to turn over cards one at a time, looking for the ace. The person wins $100 of store credit if the ace is the first card, $50 if it is the second card, and $20, $10, or $5 if it is the third, fourth, or last card chosen. What is the average dollar amount of store credit given away in the contest? Estimate with a simulation of 10 trials. Once an hour, someone at checkout is chosen at random to play in the contest Here's how it 67819 00354 91439 91073 49258 15992 41277 75111 67496 68430 09875 08990 27656 15871 23637 00952 97818 64234 50199 05715
Joe and Maggie take turns mowing the lawn each week. Maggie suggests they try a new system for determining who should mow the lawn. Each week, they will roll two dice and determine the sum of the values. Since the highest possible sum is 12, Maggie will mow the lawn if the sum is 6 or less, and Joe will mow the lawn if the sum is greater than 6. Before agreeing to Maggie's suggestion, Joe wants to check if this plan would be fair. He decides to roll a pair of dice and determine the sum of the values 100 times. The graph shows the results of the 100 trials. Based on his simulation, should Joe agree to Maggie’s plan? (yes/no), because a sum greater than 6 is likely to occur (more than, less then, equal to)(30%, 50%, 75%) of the time
In a game, two coins are tossed. If either of the coins comes up heads, you have won a prize. To claim the prize, you must point to one of your coins that is a head and say 'look, that coin's a head, I've won'. You watch Fred play the game. He tosses the two coins, and he points to a coin and says 'look, that coin's a head, I've won'. What is the probability that the other coin is a head?
You are a contestant on a game show. There are three closed doors in front of you. The game show host tells you that behind one of these doors is a million dollars in cash, and that behind the other two doors there are trashes. You do not know which doors contain which prizes, but the game show host does. The game you are going to play is very simple: you pick one of the three doors and win the prize behind it. After you have made your selection, the game show host opens one of the two doors that you did not choose and reveals trash. At this point, you are given the option to either stick with your original door or switch your choice to the only remaining closed door. To maximize your chance to win a million dollars in cash, should you switch? Choices: A) Yes B) No C) It doesn't matter because the probability for you to win a million dollars in cash stays the same no matter if you switch or not.
At your local carnival, there is a game where 40 rubber duckies are floating in a kiddie tub, and they each have their bottoms painted one of three colors. 55 are painted pink, 16 are painted blue, and 19 are painted purple. If the player selects a duck with a pink bottom, they receive three pieces of candy. If they select blue, they receive two pieces of candy. And if they select purple, they receive one piece of candy. If the game is played 42 times, what are the minimum and maximum amounts of candy that could be handed out?
At a back-to-school party, one of your friends lets you play a two-stage game where you pay $3 to play. The game works as follows: flip a fair coin, noting the side showing, and roll a fair standard 4-sided die (numbered 1–4), noting the number showing. If the die shows a 3 and the coin shows tails, then you win $22. If the coin shows heads and the die shows an even number, then you win $9. Otherwise, you do not win anything. Let X be your net winnings. (a) Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. All probabilities should be exact. X P(X) (b) Compute your expected net winnings for the game. Round your answer to the nearest cent.
In your Statistics class, your final grade is based on four categories. The categories are tests, labs, assignments, and a final exam. Suppose you earned the following grades in each of the categories; 65% on tests, 71% on labs, 69% on assignments, and 41% on the final exam. If tests are worth 13%, labs are worth 6%, assignments are worth 6%, and the final exam is worth 75%, determine your final grade in the course. Record the grade below as a percentage accurate to two decimal places. Final Grade: Check Answer pe here to search ※一 F11 F1 F3 F4 F5 F6 F7 F8 F9 F10 #3 %24 6 7 8 R T Y U S G J K C VB M この (7 134 DI

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