A certain game involves tossing 3 fair coins, and it pays 11cents for 3 heads , 7 cents for 2 heads, and 5cents for 1 head. Is 7 cents a fair price to pay to ply this game ? That is, does the 7 cents cost to play make the game fair?

Q: In a game of Jack n Poy, the player that wins 3 times out of 5 games is declared the

A: Given, Players has same chanece of winning. So, p = 0.5 If player wins 3 times out of 5 games is…

Q: Michael playsa game where he wins $5 if he draws an ace from a deck and loses $0.50 for all other…

A: Given query is to find final layout.

Q: There are   possible outcomes when you flip four fair coins.

A: Ans- There are  possible outcomes when you flip four fair coins.

Q: Frank is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6.…

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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: Monica is trying to design a coin-flipping game for a charity fair. The plan is for contestants to…

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Q: 1. A pair of dice is rolled (6 sided), how many different ways can you get a sum of 8?

A: We have given that the sample space of a pair of dice is rolled. The sample space is S={ (1,1) (1,2)…

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: A certain game involves tossing 3 fair​ coins, and it pays 7¢ for 3​ heads, 5¢ for 2​ heads, and 3¢…

A:

Q: Suppose a standard​ six-sided die is rolled and you receive ​$1.00 for every dot showing on the top…

A: The expected number of dots is     E(x)=1+2+3+4+5+66       =216       =72       =3.5

Q: I throw a dice and get 1$ if I get a 1, and get 2$ if I get a 2, and get 38 if I get a 3, etc. What…

A: Solution

Q: Consider the following game, נין A D D 5,5 0. PI E 4,0 1. a) Name the actions of PI that are the…

A: Game Theory: Useful in analyzing situations where outcomes depend on a person's decision based on…

Q: In horse racing, one can make a trifecta bet by specifying which horse will come in first, which…

A: Given that there are 8 horses  a) In an eight-horse field, how many different ways can one make a…

Q: A game is played where a player earns 3 points for flipping heads and loses 5 points for flipping…

A: Here is the solution:

Q: lets play a game and below is the situations -you will be flipping a fair coin, until it lands…

A: A fair is flipped. So, probability of heads = 0.5 X : Number of flips until you get a head. So, X ~…

Q: 9. In a gambling game, a man is paid P3 if he draws a jack or queen and P5 if he draws a king or ace…

A: As per bartleby guideline expert have to answer first question only.

Q: A certain game involves tossing 3 fair coins, and it pays 18¢ for 3 heads, 9¢ for 2 heads, and 3¢…

A: Given A certain game involves tossing 3 fair coins, and it pays 18¢ for 3 heads, 9¢ for 2 heads, and…

Q: Consider the following game. You choose a number from 1 to 6 and pay $1 to roll three dice. If your…

A: Answer is given below:

Q: The Ontario Lottery Group has recently started allowing betting on the outcomes of games of the…

A: GivenThe number of matches =3The cost of a ticket =$10The amount won for determining correctly the…

Q: 6. Suppose you are playing as the first player in a 1 pile Nim game. There are 48 coins available…

A: Given, Suppose you are playing as the first player in a 1 pile Nim game. There are 48 coins…

Q: An urn contains five balls, two of which are marked $1, two $5, and one $15. A game is played by…

A: First we calculate the probability of winning each amount   P($1) = 2/5  P($5) = 2/5P($10) = 1/5

Q: 5. Consider a competition with 12 competitors. Suppose that finally one of them would be awarded a…

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Q: A friend proposes a wager: You will pay her P9.00, and then a fair die will be rolled. If the die…

A: we can play the game if expected value is positive. Let x is random variable amount that you win .

Q: Suppose a standard​ six-sided die is rolled and you receive ​$3.00 for every dot showing on the top…

A:

Q: A game is played by rolling 2 die, one red and the other blue, then adding the results. (A). How…

A: a) Red die can have total of 6 outcomes (1,2,3,4,5,6) Similarly, the blue die can have 6 outcomes…

Q: Suppose you play a coin toss game in which you win $1 if a head appears and loses $1 if a tail…

A: As we are authorized to answer only 3 subparts for each question and that you haven't specified…

Q: Keiko is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6.…

A:

Q: PA person bets 1 dollar to b dollars that he can draw two cards from an ordinary deck of cards…

A: The probability that he draw 2 cards from an ordinary deck of cards without replacement and that…

Q: Chang is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6.…

A: The given data: If spinner stops on the number 1, he wins $1                                  If…

Q: In how many ways can one person, one weapon, and one room be chosen?

A: 1. Total ways = 6*6*9 = 324 6 ways for person, 6 ways for weapon, and 9 ways to select one room

Q: A certain game involves tossing 3 fair coins, and it pays 23¢ for 3 heads, 10¢ for 2 heads, and 2¢…

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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: What is the fair price for this game?

A: here given there is total four prizes in box  A player will reach into the box and draw one of the…

Q: Keisha is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through…

A: Here Keisha spins a spinner with 6 equal-sized slices numbered 1 through 6. Keisha wins $1 if the…

Q: American roulette is a game in which a wheel turns on a spindle and is divided into 38 pockets.…

A: P(E) = n(E)/n(S)   Note: kindly note that we are only allowed to answer three parts as per bartleby…

Q: To raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting…

A: The game works as follows: A fair 10-sided die is rolled, noting the number shown, and a spinner…

Q: Consider the game tree of a game of Nim starting with three piles of four, five, and six stones,…

A: Consider the given information: The game tree of a game of Nim starting with three piles of four,…

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 the casino game of American roulette, the wheel is divided into 38 compartments numbered 1…

A: Given Information: There are 38 compartments numbered 1 through 36, 0, and 00.  One-half of the…

Q: Suppose a standard​ six-sided die is rolled and you receive $2.00 for every dot showing on the top…

A: Random variables are of two types, discrete and continuous. A discrete random variable can only take…

Q: Tony is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6.…

A: Given that Tony is playing a game where he spins a spinner with 6 equal-sized slices.

Q: Suppose you flip a coin and pick a card from a pile of eighteen cards, each painted with a letter…

A: Given that - Suppose you flip a coin and pick a card from a pile of eighteen cards, each painted…

Q: Lisa is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6.…

A:

Q: In the casino game of American roulette, the wheel is divided into 38 compartments numbered 1…

A: Given information: The wheel in the casino game is divided into N = 38 compartments numbered 1…

Q: When playing Yahtzee, you roll five regular 6-sided dice. How many different outcomes are possible…

A: Hi! Thank you for the question As per the honour code, We’ll answer the first question since the…

Q: Lisa is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6.…

A:

Q: 3. THINKSMARTER At Luke's school party, the children make teams of 5 to play a game. If there are 20…

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Q: In a game the player wins if he rolls a 6 on a number cube. If the number cube is rolled 18 times,…

A: Given data: The given number cube. The probability of success or getting a six is, P6=16 The…

Q: 2. If a person rolls doubles when he tosses two dice, he wins $5. The cost to play the game is $1.…

A: As you have mentioned, for only 2nd question. Given : A person rolls doubles when he tossed two…