Suppose a standard​ six-sided die is rolled and you receive $2.00 for every dot showing on the top of the die. What should the cost of playing the game be in order to make it a fair​ game?

Q: A person pays $3 to play a certain game by rc person wins nothing. If, however, the player petween…

A: Given data: Amount paid by person to play a certain game by rolling die once = $3. Amount win by the…

Q: In roulettem, if a player uses the doubling strategy starting with a $10 bet and is betting on red…

A: Given that, Odds are one-one

Q: A triangular wheel is spun 5 times in a game of "Spin the Triangle" There are three different…

A: Since more than one question has been posted, we are answering the first one. There are three…

Q: 5 4 Two friends, Andrew and Liz, are playing a game using this spinner. If the spinner lands on…

A: The circle is sliced in to 6 parts.

Q: Many states in U.S.A have a lottery game, usually called a Pick-4, in which you pick a fourdigit…

A: From 0-9 there are 10 digits. Therefore there are 10 choices available from each bin out of which…

Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you…

A: As given, if you roll a six-sided die and roll 6 then you will win $11. if you roll 4 or 5 then you…

Q: When playing a game that I just made up right now, you have 7 cards in your hand from a standard…

A: It is given that 7 cards in your hand from a standard deck of cards.

Q: Two six-sided dice are rolled and their product is taken. How many elements are in the subset of…

A: When two six-sided dice are rolled the sample space is as shown below  (1,1), (1,2),(1,3),…

Q: Isabella is designing a new board game, and is trying to figure out all the possible outcomes. How…

A: The given fair die contains 4 sides, the spinner contains 3 equal-sized sections, and another…

Q: Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a…

A: Probability of any event is calculated as below: Probablity =Number of outcomes favorable to the…

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: Consider the Tower of Hanoi game described below. There are three pegs and several disks of…

A: By equation (1), the minimum number of moves required  is pn=2n-1 where n is the number of disks…

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

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

Q: Imagine a two-player game that proceeds as follows. A pot of money is created with $6 in it…

A:

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

A: The number of times the head comes is 35 in first 100 tosses, Therefore, the percentage of head…

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: 5. Mr. Bemard and Mr. Meyer go out to lunch and play a game called "One Hundred". Each player puts…

A: The hint helps us develop a strategy for the game and find the guy who ends up winning when both…

Q: A roulette wheel has 38 slots, numbered 0, 00, and 1 to 36. The slots 0 and 00 are colored green, 18…

A: a). Given, there are 38 slots and in any spin the ball has equally likely chance to land up in any…

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: 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: 2. Determine whether the second scenario would be dependent or independent of the first scenario.…

A: Independent events are those in which outcome of one event doesn't affect the probability of the…

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

A:

Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you…

A: a. The PDF table is completed as follows: X P(X) -6 0.5 5 0.3333 16 0.1667

Q: If you throw a dart at a dartboard in the shape of a regular hexagon of side length 2 feet, what is…

A: From the given information, a dart at a dartboard in the shape of a regular hexagon of side length…

Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you…

A: As per the guidelines we are allowed to solve maximum of 3 subparts If you need help with other…

Q: A child plays a game by emptying a bag of coins on the floor (assume the coins don't overlap, so…

A:

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: Problem#10: How many dice must be thrown so that there chance of obtaining a six?

A:

Q: Create a tree diagram to show all the possible outcomes for one spin of the spinner  and one roll of…

A: There is a  fair dice with six faces numbered dots of 1, 2, 3, 4, 5 and 6. There is a spinner have…

Q: Suppose a friend of yours decides to play a game. He shows you three cards, one is white on both…

A:

Q: Question 5: Find the winning strategy for a game of sprouts that starts with 5 dots.

A: We have to find the winning strategy for a game of sprouts that starts with 5 dots.

Q: Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a…

A: Since you have solved first two parts correctly, so I'll solve the last part. Given that the player…

Q: 8 singles, 6 fives, 4 twenties, and 2 hundred dollar bills are all placed in a hat. If a player is…

A:

Q: Hangman is a paper and pencil guessing game for two players. One player thinks of a word, phrase or…

A: a)Only seven guesses are allowed for the player, Hence the word length can be from 4,5,6,7. If the…

Q: In a variation of the coin game, there are 22 coins. Two players take turns and take between 1 and 3…

A:

Q: the difference of the already played card numbers is greater than 4, other

A:

Q: Question 1: Find the Nim-sequence of the subtraction game with subtraction set S= {1,2,5, 7 }

A:

Q: 4 A game has a 10 dollar buy in. You have 20% to win nothing, 20% to win 5 dollars, 30% to break…

A: Break even means that amount received is equal to the cost which is equal to 10.   The distribution…

Q: A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble…

A:

Q: Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a…

A: Given that  a game called the Big Six Money Wheel, which has 54 slots in which are displayed a…

Q: What is the correct sequence of numbers for the second row (horizontal) of the Kenken puzzle below?…

A: We first solve the Kenken puzzle

Q: A psychic calls everyone on a list of 275 sports bettors with tips about who will win the…

A:

Q: The sums that results when two fair 4-sided dice (tetrahedrons) are tossed

A:

Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you…

A: There are six faces in a die. The probability of rolling any number from 1 to 6 is 1/6. a) If you…

Q: In a box there a total of four prizes: two of them are worth $3, a single prize worth $14, and a…

A: Solution