A spinning device has 5 numbers, 1, 2, 3, 4, and 5, each as likely to turn up as the other. A person pays $3 and then receives back the dollar amount corresponding to the number turning up on a single spin. What is the expected value of the game? Is the game fair?

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: A game costs $10 to play. In the game, you roll three fair six-sided dice. If you roll one six, you…

A: Let x be the random variable for price won, then the probability distribution is given as: Number…

Q: Cypress and Japhet play a coin-tossing game. Cypress gives Japhet $1 if a head turns up; otherwise,…

A:

Q: A game costs $3 to play. A fair 6-sided die is rolled. If you roll an even number, you win an amount…

A: Let x is random variable.We already know that in a fair die, there are 3 odd number that are 1, 3…

Q: In the game of roulette, a player can place a $9 bet on the number 2 and have a 1/38 probability of…

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

Q: A school fair offers a game with a winning probability of 0.1. Winning the game has a $10 prize.…

A: Probability of winning (p) = 0.1 Probability of losing (q) = 0.9 Let the game cost = x

Q: A game costs $2 to play. A fair 5-sided die is rolled. If you roll an even number, you win an amount…

A: To determine the net expected winning in this game

Q: A player rolls a fair dice and gets "$3 multiplied by the value on the dice" in the case of even…

A: Basic concepts of probability are used.

Q: Suppose you play a game where you toss three fair coins. If you get three tails, you win $10.…

A: Probability of getting a tail while tossing a coin is 1/2 So, if 3 coins will be tossed then the…

Q: A game consists of rolling a die. If the die shows 6, the player wins $10. If the die shows a 3,4,5…

A: We first make a probability distribution  outcome 1 2 3 4 5 6 winning amount (xi) 0 0 1 1 1 10…

Q: A game-show spinner has these odds of stopping on particular dollar values: 55% for $5, 20% for…

A: The odds of player wining $500 is 15% and the odds of player wining $1,000 is 10%.

Q: A person pays $5 to draw a card. if I heart is drawn the player wins $1 if it spade is drawn, the…

A: In a set of playing cards, there are total 52 cards and among which 13 are hearts. So the…

Q: Marlon is going to roll a six-sided die, and if he rolls a 3, he gets $10. It costs him $2 to enter…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: You roll two standard six-sided dice. You win $100 if the sum is 5 and lose $10 otherwise. What is…

A:

Q: Use this spinner game to answer questions 1 - 3. It costs $10 to play this game. The pointer is on…

A: The [probability of occurring an event is, P(E)=Number of favorable casesTotal number of possible…

Q: -What is the expected gain from this game?

A: here total 52 cards in deck total face cards = 12( J,Q,K of each suit) total ace = 4   probability =…

Q: A raffle offers a first prize of $400 and 3 second prizesof $80 each. One ticket costs $2, and 500…

A: Given : A raffle offers a first prize of $400 and 3 second prizes of $80 each. One ticket costs $2,…

Q: You spin each spinner once. You get $33 if you spin a 2 and a vowel. You get $47 if you spin a 2 and…

A: Use the following - The expected value is - the sum of each outcome multiplied by it's probability.…

Q: A raffle costs $5 to play. You have 20% chance of winning $20, otherwise you lose.  What is the…

A: Given information: The percentage of winning $20 is 20%. P(winning)=20%=0.20 P(loosing)=1-0.2=0.8 A…

Q: The chance of winning Florida's Pick-6 Lotto game is 1 in approximately 23 million. Suppose you buy…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: A group of students are holding a charity carnival to support a local animal shelter. The students…

A: Answer:----.                                       Date:----27/09/2021

Q: It costs $6.75 to play a very simple game, in which a dealer gives you one card from a deck of 52…

A: The cost of the game is $6.75.

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: n a coin and die game, you roll a fair six-sided die and toss a coin. If you roll a 6 and toss a…

A: P(getting a 6 in die) = 16 P(getting a tail in coin) = 12 P(getting a 6 in die and tail in coin) =…

Q: ou draw a card from a deck of 52 cards. If the card is a spade, you win $5, but if the card is not a…

A: Total Number of Cards = 52 Number of spades = 13 Not Spade cards = 52 - 13 = 39 X P(X) 5 13/52…

Q: You flip two fair coins. If both coins land heads you win $2. Otherwise you lose $1. What is the…

A: If two fair Coins are tossed then the sample space is, S = {HH, HT, TH, TT}.

Q: You spin each spinner once. You get $46 if you spin a 2 and a vowel. You get $31 if you spin a 2 and…

A: Solution

Q: Chandler offers you the opportunity to play his $2 game where he shuffles four cards and you must…

A: Expected profit E(X)= x.P(X=x)

Q: The table below shows the probability of winning 0-5 dollars playing a game.   Amount Won ($) 0 1…

A: Given data and calculation for expected winning amount

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: suppose it costs $14 to roll a pair of dice. You get paid two dollars times the sum of the numbers…

A: Given suppose it costs $14 to roll a pair of dice.

Q: Suppose it costs $29 to roll a pair of dice. You get paid 4 dollars times the sum of the numbers…

A: The sample space when two dice are rolled is given as follows: