Roulette: You bet on numbers 1-18. What's the likelihood of winning after one trial? Explain your answer

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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  1. Roulette: You bet on numbers 1-18. What's the likelihood of winning after one trial? Explain your answer.
Craps
In this game an individual rolls two dice. If the sum of the dice on the first roll is a 7 or
11, the individual wins! If the sum is a 2, 3, or 12 on the first roll the player loses. If the
sum of the first roll is any other number, the player has set the "point" and continues to
roll. So, if a player rolls a 9, the "point" is set at 9. The player then continues to roll the
dice until one of two things happen:
Player rolls another 9 (rolls the "point") and wins!!
Player rolls a 7 and loses
Double Roulette
This game involves spinning a ball on a wheel with 38 numbered slots (0, 00, and 1
through 36). The goal is to bet whether the ball will land on a number or set of numbers.
If the ball lands on your number or numbers, you win. For example, if you bet that the
ball will land on an odd number, and the ball lands on 17, you win. If it lands on 20, you
lose. You can choose one number, or various combinations of numbers for the bet.
Chuck-A-Luck
This is a simple game that involves a single roll of three dice. The bet is that a single
value will appear on at least one of the dice in that roll. If your number appears once,
you win one times your bet. If the number appears on two dice, you win twice your bet,
and if the number appears three times, you win three times the bet. If the number
doesn't appear on any of the dice you lose the bet.
Transcribed Image Text:Craps In this game an individual rolls two dice. If the sum of the dice on the first roll is a 7 or 11, the individual wins! If the sum is a 2, 3, or 12 on the first roll the player loses. If the sum of the first roll is any other number, the player has set the "point" and continues to roll. So, if a player rolls a 9, the "point" is set at 9. The player then continues to roll the dice until one of two things happen: Player rolls another 9 (rolls the "point") and wins!! Player rolls a 7 and loses Double Roulette This game involves spinning a ball on a wheel with 38 numbered slots (0, 00, and 1 through 36). The goal is to bet whether the ball will land on a number or set of numbers. If the ball lands on your number or numbers, you win. For example, if you bet that the ball will land on an odd number, and the ball lands on 17, you win. If it lands on 20, you lose. You can choose one number, or various combinations of numbers for the bet. Chuck-A-Luck This is a simple game that involves a single roll of three dice. The bet is that a single value will appear on at least one of the dice in that roll. If your number appears once, you win one times your bet. If the number appears on two dice, you win twice your bet, and if the number appears three times, you win three times the bet. If the number doesn't appear on any of the dice you lose the bet.
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