Suppose that in a particular game two dice are tossed. If the two dice sum to seven, the player wins $7. If it costs $3 to play this game, what is the expected value of the game? Round your answer to the nearest cent and include units.

Q: You draw and keep a single bill from a hat that contains a ​$1​, ​$5​, ​$10​, and ​$100 bill. What…

A: Expected value = Mean: The mean is the sum of observations divided by number of observations. that…

Q: Consider the experiment of selecting a playing card from a deck of 52 playing cards. Eachcard…

A: Hi, you have posted multiple question and as per the guidelines i am answering first three…

Q: 4) The prizes that can be won in a sweepstakes are listed below together with the chances of winning…

A: To find: Find the expected value of the amount won for one entry if the cost of entering is 71…

Q: Suppose you roll a die with probability of 1 being 2/14, 2 being 1/14, 3 being 4/14, 4 being 3/14, 5…

A: Note: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: game is played using a 52 card standard deck. The player pays $4.00 to play and gets to pick one…

A: A standard deck of cards has four suites: hearts, clubs, spades, diamonds. Each suite has thirteen…

Q: and North are playing a game. Kyd selects one card from a standard 52-card deck. If Kyd selects a…

A: Given query is to find expected value of th game for Kyd and North.

Q: A game uses a. Single 6- sided die. To play the game, the die is tolled one time, with the following…

A: Solution

Q: the black-number bet   (a) Find the expected value of each $1 bet in roulette. (Round your answer to…

A: A roulette wheel consists of 38 slots, out of which 18 are black, 18 are red and 2 are green. The…

Q: Chauncey Billups, a current shooting guard for the Los Angeles Clippers, has a career free-throw…

A: GivenPercentage of carrer free throw (p)=0.894No.of throws(n)=6Let "x" be the no.of free throws that…

Q: When you bet $5 on the number 7 in roulette at a typical casino, you have a 37/38 probability of…

A: We know that the expected value E(X) for a discrete variable X is given by  E(X)=∑ixiP(xi)  where X…

Q: In many popular board games, a player rolls two dice and moves the number of spaces equal to the sum…

A: The expected sum when rolling two dice is obtained below: The probability model will be is,

Q: When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$15 on the number…

A: Given information: Total number on given roulette at a​ casino = 38(00, 0, 1, 2, 3, 4, 5,…

Q: 1. Suppose you roll a die with probability of 1 being 2/13, 2 being 1/13, 3 being 3/13, 4 being…

A: The expected value of the up-face of the die is obtained below: The probability model will be is,…

Q: Kyd and North are playing a game. Kyd selects one card from a standard 52-card deck. If Kyd selects…

A:

Q: When you roll two 6-sided dice, if the number 1 appears on both dice (each die has one dot on the…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: A poker hand consists of five cards randomly dealt from a standard deck of 52 cards. The order of…

A: Given: Five cards are randomly drawn from a deck of 52 cards. Total number of possible hands=C552…

Q: 2. In a playing card, a woman is paid P300 if she draws a jack or a queen and P500 if she draws a…

A:

Q: Determine the expected value of the following two games: (a) The Six Dollars Per Six game costs…

A: Probability Distribution: Let X be a random variable. Then the probability distribution of X is…

Q: In a bag, there are 8 red balls,  and 2 pink balls.  You pay 5 dollars to draw 2 balls.  If you draw…

A: In a bag, there are 8 red balls,  and 2 pink balls Total = 10 We also have to pay $5 to play the…

Q: Kyd and North are playing a game. Kyd selects one card from a standard 52-card deck. If Kyd selects…

A:

Q: Kyd and North are playing a game. Kyd selects one card from a standard 52-card deck. If Kyd selects…

A: a) From given data: X P(X=x) 4 3/13 -3 10/13   E(X)=4×313+-3×1013=-1.38   Therefore, Kyd's…

Q: Two coins are flipped. you win $2 if either 2 heads or 2 tails turn up; you lose $3 if a dead and a…

A: A) Let, H=head and T=tail When a coin is flipped then outcomes are {HH, HT,  TH, TT}. total 4…

Q: Kyd and North are playing a game. Kyd selects one card from a standard 52-card deck. If Kyd selects…

A: From the given information, Consider, A be the event that shows drawing a face card by Kyd  and B be…

Q: A game of chance involves rolling an unevenly balanced 4-sided die. The probability that a roll…

A:

Q: A. Suppose you roll a die with probability of 1 being 1/15, 2 being 2/15, 3 being 4/15, 4 being…

A: A. It is given that, a die is rolled with probability of 1 being 1/15, 2 being 2/15, 3 being 4/15, 4…

Q: Consider the following scenario. the twelve-number bet (a) Find the expected value of each $1 bet…

A: In roulette, there are 3 columns having 12 numbers each and a 0 and a 00 block. In total, there are…

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $10 on the number 32…

A: Given information- We have given the probability of making $60 profit for the $10 bet that the…

Q: When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$10 on the number…

A: 1] Probability of making a net profit of ​$60 =538  2] Probability of losing $10 =3338

Q: Tom and Mary take turns rolling a pair of dice, with Tom going first. Tom's goal is to obtain a sum…

A: From the given information, Tom and Mary turns rolling a pair of dice, with Tom going first. Tom's…

Q: 7. Jerry paid $2 for a bet on a horse. If his horse wins the race, Jerry will win $100. Find the…

A: Odds of winning = 3 to 12 or 3/12 = 1/4 = 0.25cost of making a bet = $2so, In every 4 bets he make,…

Q: One option in a roulette game is to bet $13 on red.​ (There are 18 red compartments, 18 black…

A: The total number of red compartments = 18The total number of non red compartments  = 18=2 = 20The…

Q: At a casino in Las Vegas, you are considering placing a bet either the number 7 in roulette or on…

A: we know that expectation is given as E(X)=∑ixip(xi) a) The expected value is…

Q: In a gambling game a person draws two cards from an ordinary 52-card playing deck. A person is paid…

A: Given, No of cards n = 52 draws 2 cards $100 if both are aces $50 if one of them is ace otherwise…

Q: Assume that the drawer contains 9 coins: 4 quarters, 1 dimes, and 4 nickels. One coin is randomly…

A: Type Number Probability, p Value, n (in dollars) Expected value, np Nickel 4…

Q: Sam deals 5 cards to Samira. a) What is the probability that she has at least 4 diamonds in her ha…

A: Total number of playing cards = 52 Spade 13 Diamonds 13 Hearts 13 clubs 13   King 4…

Q: You draw and keep a single bill from a hat that contains a ​$1​, ​$10​, ​$20​, and ​$50…

A: Let X be the random variable . Expected value of X is denoted as E(X) and It is defined as follows…

Q: Kyd and North are playing a game. Kyd selects one card from a standard 52-card deck. If Kyd selects…

A:

Q: When rolling two standard six-sided dice and adding the numbers, what is the probability of the…

A: Solution Dear students as per guidelines we answer the first three subparts only.

Q: What is the expected value of the following game? If a player rolls two dice and gets a sum of 2 or…

A:

Q: friend devises a game that is played by rolling a single six-sided die once. If you roll a 6, he…

A: Given friend devises a game that is played by rolling a single six-sided die once. If you roll a 6,…

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $5 on the number 13…

A: a. The expected value for the $5 bet that the outcome is 00, 0, 1, 2, or 3 is $-0.658 and it is…

Q: One option in a roulette game is to bet $17 on red. (There are 18 red compartments, 18 black…

A: There are total of (18+18+2) = 38 compartments. Number of red compartments = 18

Q: Consider the following scenario. the five-number bet   (a) Find the expected value of each $1 bet…

A: Total number in roulette wheel = 38 including (0 and 00) The five-number bet is a "row bet", that…

Q: b) Suppose that you and a friend are playing cards and decide to make a bet. If your friend draws…

A: Probability of getting heart on the first draw=1352 Probability of getting heart on the second…

Q: A local community center is holding a raffle for its members.  There is one grand prize of $500,…

A: A) For a person: x (net profit) 495 95 20 -5 p (probability) 1/200 4/200 15/200 180/200 So,…

Q: What is the expected value if I buy 10 tickets (at $2 each) for a pick-8 game of Keno?  a. -$5.70…

A: It is not given that how many of total numbers are there in pick up game. Usually there are total of…

Q: You draw and keep a single bill from a hat that contains a $1,$10,$20, and $100 bill. What is the…

A:

Q: When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$10 on the number…

A: From the provided information, For the $10 bet that the outcome is 00, 0, 1, 2, or 3, there is a…

Q: Kyd and North are playing a game. Kyd selects one card from a standard 52-card deck. If Kyd selects…

A:

Q: Suppose we have a 12 sided fair die and we toss it 20 times. What is the expected value of the sum…

A: Solution-: Given: n=20 and we have 12 sided fair die We want to find expected value of sum of all…

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.