A game costs $2 to play. A fair 5-sided die is rolled. If you roll an even number, you win an amount of money equal to the number rolled. Otherwise, you win nothing. Find the expected net winnings for this game. $

Q: If you flip a coin 3 times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT What is…

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Q: A coin is tossed and a 6-sided number cube is rolled. What is the probability of landing on the tail…

A: A coin is tossed and a 6-sided number cube is rolled. To determine the probability of landing on the…

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

A: There are 4 ace in a deck. Therefore, probability of draw an ace is=452=113. Probability of any…

Q: Suppose we roll two fair six-sided dice, a red die and a yellow die, and record the outcomes in…

A: It is given that two fair six-sided dice. One is red color die and another one is yellow color die.

Q: You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money…

A: Solution: Compute the expected value for sister’s game:  Sister says to roll a six-sided die. She…

Q: Two fair dice are thrown, what is the probability that the two scores do not add to 7? A 5/6 B 6/7 с…

A: The sample space for two fair dice is shown below: S={(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)…

Q: A bag contains 5 gold marbles, 9 silver marbles, and 26 black marbles. The rules of the game are as…

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Q: Given P(A) = 0.25, P(B) = 0.38, and P(A or B) = 0.63, are events A and B mutually exclusive?

A: Let A , B are two events The known probabilities are,

Q: problemŠ. Wrife . what is the probability of drawing a card that is either a diamond or an ace from…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: onsider the following game. You roll a six−sided die and each time you roll a​ 6, you get​ $30. For…

A: Given that  You roll a six−sided die and each time you roll a​ 6, you get​ $30. For all other…

Q: a.) A box of candies contains 10 yema candies, 8 Sampaloc candies, and 6 bucayo candies. Eduardo…

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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: If you were to draw a card from a standard deck, what is probability that you will NOT draw a heart?…

A: Total number of card = 52 Heart Card = 13  Not a heart Card = 52 - 13 = 39 Probability of not a…

Q: you invent a game that costs 2 dollars to play where a single die is rolled. if a 4 comes up you win…

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Q: . A game consists of rolling a colored die with three blue sides, two red sides, and one white…

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Q: Two fair dice are rolled. Find the odds for and the odds against getting a double 4.

A: Two fair dice are rolled. The number of ways for getting (4, 4) is 1 and the number of ways for not…

Q: A bread basket contains biscuits and muffins. There are half as many biscuits as muffins. The…

A: It is given that bread basket contains biscuits and muffins. There are half as many biscuits as…

Q: The Spinner is used for a game. Write each probability as a fraction, a decimal, or a percentage. a.…

A: We want to find the following probability  A) P(5) B) P(even) C) P(greater than 5) Even…

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: An unfair spinner has possible outcomes of 1, 2, 3, 4, 5. The probabilities for most are shown in…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: A game consists of spinning an unbiased, five-sided spinner which can land on A, B, C, D or E, and…

A: Given information: The five sided spinner which can land on A, B, C, D or E and unbiased die are…

Q: (a) Keith has a box of candies and will randomly choose one piece. The odds against choosing a…

A: Solution :-

Q: What is the probability of getting an even when you roll a die?    a. 1/3   b. ½   c. ¼

A: Here, we know that, Sample space ( 1,2,3,4,5,6) Even numbers ( 2,4,6) Probability of getting an even…

Q: In a coffee shop “Scratch and Win" contest, one out of three cards is a winner. What is the…

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Q: Players in a die-toss game using a die with numbers 1 through 6 can win the following amounts: $2…

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Q: In a game, you have a 1/48 probability of winning $55 and a 47/48 probability of losing $9. What is…

A: From the provided information, The probability of winning of $55 = 1/48 The probability of losing of…

Q: A roulette circle is divided into 10 sectors with 1 of the sectors coloured white, 2 of the sectors…

A: We first make a table for the given information color white red blue black total number of…

Q: Choose a card from a standard deck of 52 playing cards. If you choose a 2 through 10, you will get…

A: Given information:  Total number of cards = 52 Winning amount on choosing a Jack, Queen or King =…

Q: A bag contains 5 gold marbles, 9 silver marbles, and 21 black marbles. The rules of the game are as…

A: Given:Number of gold marbles=5Number of silver marbles=9Number of black marbles=21Total number of…

Q: In a number guessing game. You ask a person to guess a number from one 1 to 10. If the person makes…

A: Given that the person is asked to guess a number between 1 to 10.  Note that all numbers between 1…

Q: The cards shown below are placed in a hat and one card is randomly drawn. If a player draws a…

A: A hat contains 10 cards in which one diamond, three circles, 2 squares and 4 triangles. Also, it is…

Q: A game has three outcomes. The probability of a win is 0.4, the probability of tie is 0.5, and the…

A: Given probability are:P(win)=0.4P(tie)=0.5P(loss)=0.1

Q: In a binomial experiment, the probability of success is .06. What is the probability of two…

A: Given: Number of samples (n) =7 Probaility of success (p) = 0.06 Probabilty of failure (q) =1-p =…

Q: You select a card from a standard deck of cardsFind the probability that the card you drew is or an…

A: Given information: In a standard deck of cards, Total number of available cards = 52 From 52 cards,…

Q: In probability, which represents the intersection of the event A and the event B? P(B | A) P(A or B)…

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Q: you deal a hand of five cards from a regular deck of playing cards. find the probability of dealing…

A: In a standard deck of cards, there is a total of 52 cards. There are four suits: Spades, Diamonds,…

Q: You play a game where you select one of three envelopes. You pay $2 to select once. One envelope has…

A: From the given information, Consider, X be the gain or winning amount. Pr( probability of selecting…

Q: If the probability of winning the ball-toss game at a carnival is 20% and the probability of winning…

A: The answer is found in step-2

Q: If you flip a coin 3 times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT What is…

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Q: A pair of fair four-sided dice is thrown. The probability that If the two numbers appearing are…

A: From the given information, pair of four-sided dice are rolled.   The total sample space is,

Q: probability

A: Note that the value of a card from 2 to 10 is the number marked on it, while the value of face card…

Q: The experimental probability that Ming will win a game of chance is . The experimental probability…

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Q: You pay $3.50 to play the following game: Each of two fair dice are numbered with 3 on one side, a 2…

A: On each die, only 3 numbers can appear and they are 1, 2, 3. Total Number of sides = 6. It is given…

Q: What is the probability of an equally likely event? A.zero B.25% C.50% D.100%

A: Here we have to explain the equally likely event

Q: Show that the probability of the union of events A and B can be written as follows: P(A U B) = P(A)…

A: Given: To prove that the probability of the union of events A and B can be written as…

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: In a bridge deal, what is the probability that: a) West has four spades, two hearts, four diamonds,…

A: As due to the honor-code, we are authorized to answer only 3 subparts for each question and that you…

Q: What is the expected value of rolling a fair six-sided cube, with faces numbered 1 through 6, one…

A: We have to find correct answer..

Q: a. What are the odds for rolling a sum of 2 in a single roll of two fair dice? b. If you bet $1 that…

A: It is given that dice are fair, that indicates probability of rolling any number of dice is same.…