Suppose a standard​ six-sided die is rolled and you receive $4.50for 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?   The cost of playing the game should be $________.​ (Type an integer or a​ decimal.)

Q: Suppose the odds against winning the lottery are 57,000,000 to 1. What is the probability of the…

A: We know the probability of event = event/ total number of events, P(A) = n(A)/n Here n= 57000000 So…

Q: A certain game consists of two steps. First, a standard die is rolled, and thenumber showing is…

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Q: (b) Consider the 48-ball lottery game described above. Recall that the order of the numbers chosen…

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Q: Your friend comes to you offering to play a game. In this game, you would pay to enter and then they…

A: Given: Game of chance. In this game, you would pay to enter and then they would toss a fair coin up…

Q: James rolls a die once. If event A is getting an odd number, and event B is getting an even number,…

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Q: A fair, six-sided number cube has the numbers 2, 2, 4, 4, 6, 6 on its faces. Sarah rolls this number…

A: Introduction: Define X as the random variable representing the number of times a 2 is rolled when…

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: 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: A certain game involves tossing 3 fair coins, and it pays 11¢ for 3 heads, 5¢ for 2 heads, and 1¢…

A: The probability distribution of 3 tossed coin: The probability distribution of Profit Profit (x)…

Q: Iha state's Pick 3 kbttery game, you pay $1.28 to select a sequence of three digits (from 0 to 9),…

A: Note:- As per our policy, we can answer 3 sub-parts at a time. Please make a new request for other…

Q: A new game is being introduced at the Hard Rock Cafe. A ball is spun around a wheel until it comes…

A: The wheel has 10 spots of $1, 19 spots of $2 and 9 spots of $10⇒Total  10+19+9=38 spots are labeled…

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: Suppose the odds against winning the lottery are 46,000,000 to 1. What is the probability of the…

A: Given that the odds against winning the lottery are 46000000 to 1 .

Q: A new game is being introduced at the Hard Rock Cafe.  A ball is spun around a wheel until it comes…

A:

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

A:

Q: In a competition between players A and B, the first player to win two games in a row or a total of…

A: Let us assume there are three students A, B and C sitting beside each other. The different ways in…

Q: Suppose that a card is drawn from a well-shuffled deck of 52 cards. What is the probability of…

A: Suppose that a card is drawn from a well-shuffled deck of 52 cards. Calculate the probability of…

Q: In​ roulette, the numbers from 1 to 36 are evenly distributed between red and black. A player who…

A: The given information is, the total numbers in roulette is 38(1 to 36, 0, and 00). The total number…

Q: A game uses a 4-sided die. Determine the number of possibilities of rolling the 4-sided die twice.…

A: Let the dice be numbered (a1,a2,a3,a4) and (b1,b2,b3,b4)

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: certain game involves tossing 3 fair coins, and it pays 11 for 3 heads, 7¢ for 2 heads, and 5¢ for 1…

A: We can get 3 heads in 3C3= 1 way 2 heads in 3C2=3 ways  1 head in 3C1=3 ways  0 heads in 3C0=1 way…

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: 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: 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: In roulette, the numbers from 1 to 36 are evenly distributed between red and black. A player who…

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Q: A "checkers" game required that the players travel through the following pattern from top to bottom…

A: The given problem can be solved using the Fundamental Principal of Counting, PRODUCT RULE Consider…

Q: 1. To win a game, Tamika must spin an even number on a spinner identical to the one shown below, 7.…

A: The spinner contains 5 even numbers(2, 4, 6, 8, 10) and 3 odd numbers(1, 3, 7).

Q: How many possible outcomes are there if you roll 6 four-sided dice? How many possible outcomes are…

A: Here we have to find total number of possible outcomes when we roll 6 6 four sided die and 2 Six…

Q: A new game is being introduced at the Hard Rock Cafe.  A ball is spun around a wheel until it comes…

A: Total number of spots = 11+9+6=26 spots So probability of getting $1 is = 11/26 So probability of…

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.

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A: 11 sports  $1 11 sports  $2 1 sports   $10

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A: It is given that a spinner with 8 parts and each part is numbered from 1 to 8 with 4 different…

Q: A new game is being introduced at the Hard Rock Cafe.  A ball is spun around a wheel until it comes…

A: Given that  16 spots labeled $1, 9 spots labeled $2, and 7 spots labeled $10

Q: 9. An exacta wager at the racetrack is a bet where the bettor picks the horses that finish first and…

A: Given information: An exacta wager at the racetrack is a bet where the bettor picks the horses that…

Q: 1. Two seniors, one from each government class are randomly selected to travel to Washington, D.C.…

A: There are 18 students in the Wes's class. One student will be selected. Total number of ways…

Q: A casino is offering a gamble to customers. A single, fair six-sided die is rolled. If a player…

A: Given, A single, fair six-sided die is rolled. If a player rolls 1,2, or 3, the payoff is the number…

Q: Q2: According to a well-known legend, the game of chess was invented many centuries ago in…

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Q: A new game is being introduced at the Hard Rock Cafe.  A ball is spun around a wheel until it comes…

A: According to the given information, When wheel has 7 spots then winning is $1 When wheel has 9 spots…

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 new game is being introduced at the Hard Rock Cafe.  A ball is spun around a wheel until it comes…

A: It is given that the wheel has 8 spots labelled as $1, 16 spots labelled as $2 and 1 spot labelled…

Q: Playing the horses: In horse racing, one can make a trifecta bet by specifying which horse will come…

A: Fundamental counting principle: If there are three events that can occur in m, n and p ways…

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A: Expected value: The expected value of a random variable is the sum of the possible values that the…

Q: Y Ou are piaying a game involving a fair 6-sided die and a fair coin. First the die is rolled. If…

A: a. The probability of the number on the die evenly divisible by 3 is: 26=13 The probability of the…

Q: A certain game involves tossing 3 fair​ coins, and it pays 14¢ for 3​ heads, 7¢ for 2​ heads, and 5¢…

A: When a coin is tossed there would be two possible outcomes. That is, HeadH,TailT. A fair coin is…

Q: 250 adults are practicing every day before taking part in a high-stakes children's game. The game…

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Q: Player pays a fee, then reaches into a large jar and picks out a ball. The jar contains one ball for…

A: There are 26 alphabets in which 5 are vowels and 21 are consonants. If the player picks a vowel then…

Q: A game is played with the following rules. Two ordinary number cubes, each with six sides labeled 1…

A: The all-possible outcomes for tossing a pair of dice is defined as follows:

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

A:

Q: 2. Assume 8 horses in a race. If you bet a 10ct superfecta bet "All w/ 1 w/ All w/ 234", what is the…

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Q: A new game is being introduced at the Hard Rock Cafe.  A ball is spun around a wheel until it comes…

A: Given that The wheel has 13 spots labeled $1, 15 spots labeled $2, and 7 spots labeled $10 We have…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.