Name ___________________________________

1. What is the probability of rolling a six with one die? Express the answer as a decimal, fraction, and percentage.

For questions 2-4 consider the place bet on 4 in craps. The player bets that a 4 will be rolled before a 7. You may take it on faith (for now) that the probability of winning is 33 1/3%. The bet pays 9 to 5.

2. What are the true odds?

 

3. If the player bets $100 and wins, how much does he win?

 

4. What is the house edge?

 

For questions 5-8 consider the 1-12 column bet in double zero roulette. The player bets that a 1 to 12 will be rolled on the next spin. So 12 numbers will win and 26 will lose. If the player bets $100 he stands to win $200.

5. What is the probability of winning, in decimal form?

 

6. What is the probability of winning, in fraction form?

 

7. What is the probability of winning, in percentage form?

 

8. What are the payoff odds?

 

9. What are the true odds?

 

10. What is the house edge?

 

 

For questions 11-16 consider the $10 bet in Big Six. There are 54 total positions on the wheel but only 4 of them win. If the player bets $100 he stands to win $1000.

11. What is the probability of winning, in decimal form?

 

12. What is the probability of winning, in fraction form?

 

13. What is the probability of winning, in percentage form?

 

14. What are the payoff odds?

 

15. What are the true odds?

 

16. What is the house edge?

 

 

For the remainder of the questions consider a new game called "five-sided dice sic bo", in which 5-sided dice are used instead of 6-sided dice. You may assume that the probability of each side is equal. Three of these five-sided dice are thrown and the player bets on the outcome.

17. A total of 3 pays 100 to 1. What is the probability of winning and expected value?

 

 

 

18. A total of 14 pays 35 to 1. What is the probability of winning and the house edge?

 

 

 

19. A total of 5 pays 17 to 1. What is the probability of winning and expected value?

 

  

 

20. A total of 12 pays 10 to 1. What is the probability of winning and the house edge?

 

  

 

21. A total of 7 pays 7 to 1. What is the probability of winning and the expected value?

 

 

 

22. A total of 10 pays 5 to 1. What is the probability of winning and the house edge?

 

 

 

23. A total of 9 pays 5 to 1. What is the probability of winning and the expected value?

 

 

 

24. The "Two of a Kind" wins if the two specific numbers both appear in the throw of the dice. If the player chooses 2 and 4 the bet will win if both a 2 and 4 appear, for example: (2,2,4) or (4,2,5). The bet pays 4 to 1. What is the probability of winning and the expected value?

 

 

 

25. The "Double" bet wins if a specific number appears at least twice. If the player chooses 3 the bet will win if 2 or 3 threes appear in the throw of the dice, for example (3,6,3) or (3,3,3). The bet pays 8 to 1. What is the probability of winning and the house edge?

 

 

 

26. The "Triple" bet wins if a specific number appears on all three dice. If the player chooses 5 the bet will win if and only if three fives appear. The bet pays 100 to 1. What is the probability of winning and the house edge?