A game has 49 green balls and 1 red ball in a bag, and you will randomly select one ball from the bag. If the selected ball is green , you lose $1 . And if the ball is red, you win $100. What is the expected value of the game?

Q: There is a seller and a buyer of a used car. The seller knows the car is a plum or a lemon. The…

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Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $20 on the number 26…

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Q: A local organization sells 10,000 lottery tickets for $1 each. Prizes are awarded by a random…

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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 bag contains 2 gold marbles, 9 silver marbles, and 28 black marbles. Someone offers to play this…

A: Obtain the expected value of the game.   The expected value of the game is obtained below as…

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

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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: A bag contains 2 gold marbles, 9 silver marbles, and 22 black marbles. Someone offers to play this…

A: In total there are 2+9+22=33 marbles in a bag

Q: What is your expected value if you play this game?

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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: 6 cards are taken from a deck: 2 kings and 4 aces. The 6 cards are thoroughly shuffled, after which…

A: Given : There are 52 total cards from that 6 cards are drawn 2 are kings and 4 are aces .…

Q: 2. You are invited to play a game in which you roll two fair dice. If you roll a 7, you eds- in…

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Q: A bag contains 1 gold marbles, 9 silver marbles, and 21 black marbles. Someone offers to play this…

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Q: A bag contains 1 gold marbles, 9 silver marbles, and 23 black marbles. Someone offers to play this…

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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: A fair six-sided die is tossed. You win P10.00 if the result is a “3”, you win P20.00 if the result…

A: Solution: Let X be the amount that we will gain or loss in the game.  If a fair sixe sided die is…

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: In a charity raffle, players pay $10 for a ticket. Out of each batch of 500 tickets, 1 ticket wins…

A: Hello. Since your question has multiple, we will solve first question for you. If you want remaining…

Q: A bag contains 1 gold marbles, 10 silver marbles, and 26 black marbles. Someone offers to play this…

A:

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: A bag contains 3 gold marbles, 10 silver marbles, and 23 black marbles. Someone offers to play this…

A: We are given: 3 gold marbles, 10 silver marbles, and 23 black marbles.       Total number of…

Q: A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30…

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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: The following card game with a well shuffles deck of cards. If you draw a red card, you win nothing.…

A: In a well-shuffled deck of 52 cards, there are four suits, hearts, clubs, spades, and diamonds, each…

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: A bag contains 1 gold marbles, 6 silver marbles, and 24 black marbles. Someone offers to play this…

A: We have to find expected value: Concept:

Q: In a game involving the roll of a single die, the following rules have been agreed upon: I pay P1…

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Q: Many states and Canadian provinces have government-sponsored lotteries. Here is a simple lottery…

A: The possible three digit numbers varies from 000 to 999 making a total of 1000 numbers.Consider X be…

Q: Name: 1. A game has 49 green balls and 1 red ball in a bag, and you will randomly select one ball…

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: A bag contains 3 gold marbles, 9 silver marbles, and 27 black marbles. Someone offers to play this…

A: Total marbles in a bag = 3 + 27 + 9 = 39 Where,             3 = gold marbles             9 = silver…

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: 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: Hector plays a game with a friend. They have a bag which contains 13 red stones and 3 black stones.…

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

Q: A bag contains 1 gold marbles, 10 silver marbles, and 29 black marbles. Someone offers to play this…

A: E[x] = ∑xp(x)

Q: One option in a roulette game is to bet $1 on red. (There are 18 red compartments, 18 black…

A: No. of red compartment = 18 = n(R) No. of black compartment = 18 = n(B) No. of other compartment = 2…

Q: A bag contains 3 gold marbles, 9 silver marbles, and 24 black marbles. Someone offers to play this…

A:

Q: 5-card hand is dealt from a standard 52 deck card. If the 5-card hand contains atleast one four, you…

A: To calculate the expected value of the game.

Q: A game is played using a standard 52-card deck. The player pays $3.00 to play and gets to pick one…

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Q: An adventurous aardvark is a card shark and gambler. He offered to let you play in a game with him.…

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Q: One package contains 5 blue, 4 red and 3 green marbles. We pay $ 14 to draw two marbles at random…

A: We have to find expected value.

Q: In the election a state representative received 52% of the votes cast. One year after the election,…

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Q: A bag contains 2 gold marbles, 6 silver marbles, and 23 black marbles. Someone offers to play this…

A: Given Information: Gold marbles = 2 Silver marbles = 6 Black marbles = 23 Total marbles = 2 + 6 + 23…

Q: A bag contains 3 gold marbles, 7 silver marbles, and 27 black marbles. Someone offers to play this…

A:

Q: A game involves selecting a card from a regular 52-card deck and tossing a coin. The coin is a fair…

A: Let's define four events:F = event of drawing a face cardN = event of drawing a non-face cardH =…

Q: A bag contains 2 gold marbles, 7 silver marbles, and 21 black marbles. Someone offers to play this…

A: Given:A bag contains 2 gold marbles, 7 silver marbles , and 21 black marbles.

Q: One option in a roulette game is to bet $9 on red.​ (There are 18 red​ compartments, 18 black​…

A: Given information- Information of roulette- The pockets of the roulette wheel are numbered from 0 to…

Q: A bag contains 1 gold marbles, 9 silver marbles, and 24 black marbles. Someone offers to play this…

A: There are 1 gold marbles, 9 silver marbles, and 24 black marbles. The total number of marbles is…

Q: lette is to bet $2 on red.  (there are 18 red compartments, 18 black compartments, and two…

A: Given, There are 18 red compartments, 18 black compartments, and two compartments that are neither…

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

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