1. Suppose that two fair dice are rolled. If you bet $1 on rolling a sum of 11, how many dollarsshould the house pay (plus returning your $1 bet) if you roll a sum of 11 in order for the game tobe fair?171815352. What is the probability of obtaining at least 2 head when a single coin is tossed 3 times?

Sa per bartleby guideline expert have to answer first question only.

Answered: 1. Suppose that two fair dice are…

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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the carnival has come to town, and lucky louie has once again set up his pavilion. He offers a simple game consisting of rolling two normal six-sided dice at the same time for the extraordinarily low price of $3.00 per play. If the player rolls a sum of 3, the player wins $13.00; if the sum is a 9, the player wins $9.00; and if the sum is a 12, the player wins $12.00. Otherwise, the player does not win anything. How much should you expect to win or lose per game (after paying the $3.00) ?
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
Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a Joker, the casino logo, and various dollar amounts, as shown in the table at the top of the next column. Players may bet on the Joker, the casino logo, or one or more dollar denominations. The wheel is spun and if the wheel stops on the same place as the player's bet, the player wins that amount for each dollar bet. Denomination Number of slots $40 (Joker) 1 $40 (Casino logo) 1 $20 2 $10 4 $5 7 $2 15 $1 24 If a player bets $4 on the $10 denomination, find the player's expectation. (Round your answer to two decimal places.)
If I $6 to play a spinner game and the chances of winning $1 dollar is 50% and the chances of winning $12 is 50%. What is the fair price of the game?
James placed a $25 bet on a red and a $5 bet on the number 33 (which is black) on a standard 00 roulette wheel. -if the ball lands in a red space, he wins $25 on his 'red' but loses $5 on his '33' bet - so he wins $20 -if the ball lands the number 33, he loses $25 on his 'red' bet but wins $175 on his '33' bet: He wins $150 -if the ball lands on a spae that isn't red and isnt 33 he loses both bets, so he loses $30 So for each spin; he either wins $150, wins $20, or loses $30 -probability that he wins $150 is 1/38 or .0263 -probability that he wins $20 is 18/38 or .4737 -probability that he loses $30 is 19/38 or .5000 let X = the profit that james makes on the next spin x P (X=x) x*P(X=x) x^2*P(X=x) 150 .0263 3.945 591.75 20 .4737 9.474 189.48 -30 .5000 -15.000 450.00 sum (sigma) 1.000 -1.581 1231.23 u (expected value)= -$1.581 variance = 1228.73044 standard deviation = 35.053 FILL IN THE BLANK if you play 2500 times, and Let, x (x bar)= the mean winnings (or…
If someone were to bet $1 on the second dozen numbers (which pays 2 to 1) in the game of roulette 33 seperate times, what is the chance that they would end up losing money?
After the quarter finals of the Rugby World cup, when offering you to bet on the winner, a friend of yours states that the odds for South Africa, new Zealand, England, Argentina, to be crowned World Champion are respectively: 5-6,5-4, 12-1, 40-1. Given these odds, who can take advantage of the other? a. You b. No one O c. Your friend
. A small-town carnival has a simple game that you can play with a number cube. If you roll a 6 you win a fluffy teddy bear. If you roll a 1, 2, 3, 4, or 5 you get a piece of stale gum. After watching other children play the game 50 times, only 2 children have won a teddy bear. You decide to simulate the game with a random number table. a) Determine labels for your outcomes. b) Using the random number table below, determine how many times a “6” appears in 50 trials. c) What percentage of a “6” in 50 trials did you get from the simulation? d) What percentage of a “6” did you observe at the carnival? e) How do your answers for parts (c) and (d) compare? briefly explain (help me to tackle question "c" "d" and "e" only please)
Emma and Eddie both want to choose their family's dinner entrée. Emma prefers burgers, and Eddie would like to order pizza. To determine who gets to pick, their dad suggests rolling a pair of fair dice. If the sum of the dice is 4 or 10, then Emma will pick dinner. If the sum is 2, 3, 11, or 12, then Eddie will pick dinner. They will roll the dice again if any other number is rolled. Is this a fair way to decide? Explain.(Hint: There are 21 total possibilities when rolling a pair of dice.) a No, it is not fair because there is a higher probability of rolling 2, 3, 11, or 12, so Eddie will most likely choose dinner. b Yes, it is fair because both Emma and Eddie have an equal probability of choosing dinner. c No, it is not fair because there is a higher probability of rolling 4 or 10, so Emma will most likely choose dinner. d No, it is not fair because there is a greater probability that they will roll a number other than 4, 10, 2, 3, 11, or 12.
A certain game involves tossing 3 fair coins, and it pays 11¢ for 3 heads, 7¢ for 2 heads, and 4e for 1 head. Is 7¢a fair price to pay to play this game? That is, does the 7¢ cost to play make the game fair? .... The 7¢ cost to play a fair price to pay because the expected winnings are (Type an integer or a fraction. Simplify your answer.)
2. Two people have different opinions on the Tennessee and Florida game to be played tonight. One person supports Tennessee and is willing to offer 11 to 10 odds; the other person supports Florida and is willing to offer 5 to 3 odds. Go through the analysis to determine how much to bet with each person. If Heili has $100 to invest, how much is she assured of earning?
Two unbalanced dice are thrown at the same time. The first die has the property that the probability of getting a side of 1 and 6 is three times the other side. While the second dice has the property that the probability of the appearance of the sides of the eye 3 and 4 is three times the probability of the other side. If X represents the appearance of the side of the first die and Y represents the appearance of the side of the second die. a. Find the joint probability mass function, P(x,y) b. Find the X and Y marginal probability mass functions c. Find E(X), E(Y), and E(XY)

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1. Suppose that two fair dice are rolled. If you bet $1 on rolling a sum of 11, how many dollars should the haouse pay (plus returning your $1 bet) if you roll a sum of 11 in order for the game to be fair? 17 18 15 35