a pair of dice is rolled once. Suppose that you lose 9$ if the dice sum to 5 and win 10$ if the dice sum to 11 or 8. How much should you win or lose if any other number turns up in order for the game to be fair?

Q: At a raffle, 1000 tickets are sold at $5 each.  There are 20 prizes of $25, 5 prizes of $100, and 1…

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Q: The table below shows all of the possible outcomes of rolling a six-side 2 5 6 H1 H2 H3 H4 H5 H6 T1…

A: Given the table shows all the possible outcomes of rolling six sided dice and tossing a coin. We…

Q: Part:c: The weather in Columbus is either good, indifferent or bad on any given day. If the weather…

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Q: What chance do you have of winning the lottery if there are 1 million entries and each of you have…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: Each of the questions in this box pertains to rolling a pair of fair dice. Find the probability…

A: For each dice, there are 6 possible outcomes. So when two dice are rolled then the possible number…

Q: Which of the following is equivalent to S = {spring, summer, autumn, winter}? (you may select more…

A: S = {spring, summer, autumn, winter}?   1. {x | x = sides of a standard dice} 2. {x | x = former…

Q: You play a game with two six-sided dice. If you roll a sum of 5 or 7, you win P400. If you roll a…

A: In a game of rolling six-sided dice, there are a total of (6 x 6) = 36 outcomes. The outcomes are…

Q: I throw a dice and get 1$ if I get a 1, and get 2$ if I get a 2, and get 3$ if I get a 3, etc. What…

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Q: c) Ms Loom is writing a quiz that contains a multiple-choice question with five possible answers.…

A: As per bartleby guidelines we can solve only first question and rest can be reposted

Q: Rolling a sum of 8 or both dice are odd numbers. >

A: Mutually exclusive event Mutually exclusive events cannot happen at the same time. Its impossible…

Q: There is a game of chance in a carnival. The game consists of a box with 25 balls where 9 are red, 6…

A: Given problem Given that   There is a game of chance in a carnival. The game consists of a box…

Q: A game is played by rolling a pair of dice. If the same number appears on both dice, the player wins…

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Q: When a coin is tossed two times, the possible outcomes are HH HT TH TT. List the outcomes that…

A: Note: Hey there! Thank you for the question. As you have posted a question with several sub-parts,…

Q: You are on a TV show. You have been asked to either play a dice game four times or accept a $50…

A: If 1 or 2 appears you earn -$30 If 3,4 or 5 appears you earn $100 If 6 appears you earn -$50

Q: For two events a and b it is given p(a)=0.30 P(b)=0.65and p(a or b)=0.74 Calculate P(a and b)

A: Solution - Given that a and b are two events such that P(a)=0.30 P(b)=0.65   And. P(a or b)=0.74…

Q: Two dice are rolled, one blue and one green. How many different outcomes are possible?

A: A dice has 1, 2, 3, 4, 5, and 6 number on its faces When two dice are thrown simultaneously, the…

Q: A certain game involves tossing 3 fair coins, and it pays 11¢ for 3 heads, 7¢ for 2 heads, and 4¢…

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Q: If you draw a random card from a standard deck of 52 cards, what are the odds of drawing the jack,…

A: Given Data: Let A represent drawing of jack, queen, king or ace of clubs n(A)=4   n(S)=52

Q: Hadey is running a game of chance to raise money for a trip to Jamaica to visit his grandparents. A…

A: Introduction: Denote p1, p2, p3, p4, p5, and p6 as the respective true proportions of obtaining the…

Q: A certain game involves tossing 3 fair coins, and it pays 21e for 3 heads, 9¢ for 2 heads, and 2¢…

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Q: In a children's game, the die has two faces marked with 1, two faces marked with 2, and two faces…

A: Given:- the die has two faces marked with 1, two faces marked with 2. and two faces marked with 3.

Q: In strategy games, in addition to the common 6-sided dice, dice having 4, 8, 12, or 20 sides are…

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

Q: What is the smallest possible value that P[A ∩ B] can be?

A: HERE , Consider two events, A and B, with P[A] = 60%P[B] = 40%.

Q: Given an urn containing 2 pink balls,3 green balls, and 5 yellow balls.What is the probability of…

A: Given, the urn containing 2 pink balls,3 green balls, and 5 yellow balls To find the probability of…

Q: A class contains 12 boys and 18 girls. The teacher calls on students at random to answer a question.…

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Q: Melody has a dice game with the following rules: It costs $6 to play. The player rolls one 6-sided…

A: Answer is explained below

Q: For this problem, assume that the outcomes 1 through 2 are equally likely, that the outcomes 3…

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Q: Consider the experiment of rolling a fair die where a success is the face that comes up shows a…

A: From the provided information, A fair die is rolled where success is the face that comes up shows…

Q: A problem in statistics is given to five students A, B, C, D and E. Their 1 1 1 1 chances of solving…

A: here given , A problem in statistics is given to five students A, B, C, D and E. Their chances of…

Q: 3. If a person rolls doubles when she tosses two dice, she wins $10. For the game to be fair, how…

A: From the provided information, If a person rolls doubles when she tosses two dice, she wins $10,…

Q: in a game the player who an if he rolls a 4 on a number cube. if the number cube is rolled 24 times,…

A: Assuming that this is a regular six sided die, then the reason prediction for the number of…

Q: You have a choice between two games. Game a said that you have a 0.864 probability of winning, and…

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Q: Suppose we roll 2 six-sided dice. Let X be their sum and Y be the larger value of the two. (a) (10…

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Q: The casino game of craps is played as follows: Roll 1- The player rolls a pair of standard 6-sided…

A: Round 1 Win if got (7,11) Lose if got (2,3,12) If got anything else(let x=4,5,6,8,9,10) Round 2 If…

Q: (d) If we define the events A and B by: A = {(X,Y):2(Y – X) > Y + X} Determine P(Ān B).

A: To find the probability of the said event please repost the question with the respective probability…

Q: If you roll a pair of dice, what is the total number of ways in which you can obtain the following?…

A: a) The possible outcomes are: { (2,6), (3,5), (4,4) , (5,3) , (6,2) }  In 5 ways we can get an 8.…

Q: Two dice are rolled, one blue and one green. How many different outcomes are possible where the two…

A: Given: The two dices are rolled. The total number of outcomes are 6×6=36. The sample space (S) can…

Q: d) Suppose we want to pick two numbers from {1,2, ..,100} randomly. What is the probability that the…

A: This question is related to probability

Q: If you continue to play the game, how much do you expect to win or lose in the game?

A: here two six sided dice are rolled  so total outcomes 6*6 = 36 here probability  = #favorable…

Q: The set S = {a, b, c, d} is the sample space for an experiment. Find the probability that outcome c…

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Q: Each of the questions in this box pertains to rolling a pair of fair dice. Find the probability…

A: For each dice, there are 6 possible outcomes. So when two dice are rolled then the possible number…

Q: With two dice, each numbered 1-6, there are two possible ways to roll a 3. and

A: Given information: Given that 2 dice are rolled each numbered 1 - 6.

Q: If you flip a coin three times, the possible outcomes are HHH HHT HTH HTT THH THT TTH TTT. What is…

A: From the provided information, A coin is flip three times. Total outcomes = 23 = 8

Q: State if each scenario involves a permutation or a combination.

A: State if each scenario involves a permutation or a combination.

Q: Roll a pair of fair six-sided dice and let X be 1 if the dice land showing the same number of spots,…

A: Solution

Q: Suppose that we have two events, A and B, with P(A) = .70, P(B) = .60, and P(A N B) = .40. a. Find…

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Q: Two dice, a 8-sided one and a  10-sided one are shaken in a cup then "rolled" onto a table.  How…

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Q: a. Five dice are rolled. b. Notebooks come in 4 colors: red, yellow, green, and blue: They come in 2…

A: We need to find number of possible outcomes for each case.

Q: A game is played by rolling a palr of dice. If the the player wins 50 pesos. Otherwise, he loses…

A: Given: If the same number appear on both side, the player wins 50 pesos the game favors neither the…