Roulette. An American roulette wheel consists of 38 numbers, of which 18 are red, 18 are black, and 2 are green. When the roulette wheel is spun, the ball is equally likely to land on each of the 38 numbers. A gambler is playing roulette and bets $10 on red each time. If the ball lands on a red number, the gambler wins $10; otherwise, the gambler loses $10. What is the probability that the gambler will be ahead after a. 100 bets? b. 1000 bets? c. 5000 bets? Hint: The gambler will be ahead after a series of bets if and only if he or she has won more than half the bets.)

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

A:

Q: 13) A bag contains 3 red marbles, 2 blue marbles, 6 white marbles, and 5 green marbles. If one mart'…

A: To find which color marble has the least chance of being drawn:

Q: When playing a game that I just made up right now, you have 7 cards in your hand from a standard…

A: It is given that 7 cards in your hand from a standard deck of cards.

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

A: Let, X= amount of earning Probability of landing on red= 1/2 probability of landing on blue=1/2 Let…

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A: Given that the group of military officers is composed of 6 Army Officers,  7 Navy Officers, and  8…

Q: 3: A player bets on coin tosses, a dollar each time, and the game ends either when the player has no…

A:

Q: A roulette wheel has thirty slots consisting of two blue, eight white, and twenty red slots. You…

A:

Q: A candy jar contains 4 Butterscotch candies 5 Coffee candies 6 Lemon candies, all of the same shape…

A:

Q: lets play a game and below is the situations -you will be flipping a fair coin, until it lands…

A: A fair is flipped. So, probability of heads = 0.5 X : Number of flips until you get a head. So, X ~…

Q: A game is played using a four-sided wooden top, with one of four letters on each face, A, B, C, or…

A: Now since each face of the top is equally likely to face upward and that top is four sided.  Hence…

Q: You are dealt five cards from a standard deck of 52 cards. How many of these hands have at least one…

A:

Q: L The word "Fair" means that each face of a coin has an equal chance of coming up and that the…

A: We have given the following information about the  fair coin.

Q: You walk into a room and notice two things. First, the room is light (L) or dark (D). Second, the TV…

A:

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

A: Sister wants me to spin a spinner with two outcomes blue and red.If spinner lands on blue she gave…

Q: A game is played using a four-sided wooden top, with one of four letters on each face, A, B, C, or…

A:

Q: 13) A bag contains 3 red marbles, 2 blue marbles, 6 white marbles, and 5 green marbles. If one mart…

A: We have, Red marbles: 3 Blue marbles: 2 White marbles: 6 Green marbles: 5   Total number of marbles…

Q: You go to a casino and play a game.  You throw a fair 4 sided die whose sides are labeled 1, 2, 3…

A: Given information: A game is played in a casino. A fair 4-sided die is rolled whose sides are…

Q: Blackjack: In single-deck casino blackjack, the dealer is dealt two cards from a standard deck of…

A:

Q: 1. The game Five Crowns uses a deck with five suits (the four usual suits plus stars) and has no…

A: As per given by the question, the game five crowns uses a deck with five suits and has no aces or…

Q: A card is drawn from a deck of 52 playing cards. a) Find the odds against drawing a black card or a…

A:

Q: Two teams are trying to win a game by drawing a winning card. Team A is drawing from a pack of 54…

A: Given two teams are trying to win a game by drawing a winning card. Team A is drawing from a pack of…

Q: In how many ways can one person, one weapon, and one room be chosen?

A: 1. Total ways = 6*6*9 = 324 6 ways for person, 6 ways for weapon, and 9 ways to select one room

Q: 23: A professor grades homework by randomly choosing 6 out of 12 homework problems to grade. (a) How…

A: It is given a professor  grades homework by randomly choosing 6 out of 12 homework problems to grade

Q: A game is played using a four-sided wooden top, with one of four letters on each face, A, B, C, or…

A: Now since each face of the top is equally likely to face upward and that top is four sided.  Hence…

Q: A group of military officers is composed of 6 Army Officers, 7 Navy Officers, and 8 Air Force…

A: The group of military officers is composed of 6 Army Officers, 7 Navy Officers, and 8 Air Force…

Q: In the rolling of two fair dice calculate the following: P(Sum of the two dice is 4)=  . P(Sum of…

A: As per our guidelines we are suppose to answer only three sub parts. If two dice are rolled than the…

Q: 1. The game Five Crowns uses a deck with five suits (the four usual suits plus stars) and has no…

A: The deck is with 5 suits. There no aces or twos and no jokers. There will be one ace and a two in a…

Q: A game is played using a four-sided wooden top, with one of four letters on each face, A, B, C, or…

A:

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

A: Given data

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 game is played using a four-sided wooden top, with one of four letters on each face, A, B, C, or…

A: Given Information: Consider X as the amount of token won by the player that can take the values…

Q: 4. You roll a die with six sides and then you roll a die with 10 sides. How many possible outcomes…

A: Total possible outcomes can be calculated by multiplying the respective possible outcomes of each…

Q: 11. The game Five Crowns uses a deck with five suits (the four usual suits plus stars) and has no…

A: Given Information. The deck contains 5 suits. There is no ace's, two's and joker. In a suit there is…

Q: A game is played using a four-sided wooden top, with one of four letters on each face, A, B, C, or…

A: Each face of the top is equally likely X={-1,0,15,30} We have to calculate,  Probability mass…

Q: In the rolling of two fair dice calculate the following: P(Sum of the two dice is 5)= P(Sum of the…

A:

Q: Chess clubs of two schools, School A and School B, consist of 5 and 20 players, respectively. If in…

A: Using the fact that n!=n·n-1···2·1. From the school A, 5 players can be chosen in 1 way. Number of…

Q: An Experiment has four steps with three possible outcomes in the first step, four possible outcomes…

A: First = 3 Second = 4 Third =2 Fourth =5

Q: In an experiment, you flipped one coin and rolled three dice followed by the coin-flipping. An…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: A group of college students were asked about their TV watching habits. Of those surveyed, 28…

A: Given 28 students watch The Walking Dead, 19 watch The Blacklist, 24 watch Game of Thrones.…

Q: A game is played using a four-sided wooden top, with one of four letters on each face, A, B, C, or…

A: Given Information: Consider X as the amount of token won by the player that can take the values…

Q: A pharmacist is explaining the over-the-counter (OTC) pain-relief options to a patient and notes…

A: The outcome in statistics denotes the possible result that can occur in an experiment. The total…

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

A: GIVEN DATA : Ball is spun around a wheel until it comes to rest in one of many spots.…

Q: 18. Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are…

A: Given that -

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

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

Q: A game of “Doubles-Doubles” is played with two dice. Whenever a player rolls two dice and both die…

A: Given the game of “Doubles-Doubles” is played with two dice.

Q: Guadalupe plays a game where she draws one card from a well-shuffled standard deck of 52 cards 2.…

A: 1 card is drawn, what is the probability that, 1 card is KING or 1 card is ACESolution:Total number…

Q: Inhorseracing,onecanmakeatrifectabetbyspecifyingwhichhorsewillcomeinfirst,which will come in second,…

A: Solution (a)  The number of ways to make a trifecta bet is the number of permutations of 3 horses…

Q: A Nevada roulette wheel has 38 pockets. One is numbered 0, another is numbered 00, and the rest are…

A: From the given information, A roulette wheel has 38 pockets. One is numbered 0, another is numbered…

Q: In the board game Clue, the object of the game is to determine the which character is the murderer,…

A: Given, 6 different characters 6 weapons 9 rooms

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.