### MATH 1308 Q7

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1. A box has three red balls and four green balls. A gambler bets \$1 on red. A ball is randomly chosen. The gambler wins \$1 if the ball is red, otherwise, he loses \$1. He will play this game 200 times. The expected value for the gambler's net gain is:

2. A box has three red balls and four green balls. A gambler bets \$1 on red. A ball is randomly chosen. The gambler win \$1 if the ball is red, otherwise he loses \$1. He will play this game 200 times. The SE for the gambler's net gain is:

3. A box has three red balls and four green balls. A gambler bets \$1 on red. A ball is randomly chosen. The gambler wins \$1 if the ball is red, otherwise he loses \$1. He will play this game 200 times. The chance that the gambler wins more than \$2 is about:

4. A gambler plays roulette, and makes a \$1 bet on four numbers, 400 times. The bet pays 8 to 1. Find the standard error for the sum.

5. A gambler plays roulette, and makes a \$1 bet on four numbers, 400 times. The bet pays 8 to 1. Find the amount of money the CASINO is expected to make.

6. A gambler plays roulette, and makes a \$1 bet on four numbers, 400 times. The bet pays 8 to 1. Find the chance that the casino will win between \$30 and \$40.

7. A gambler plays roulette 200 times, betting \$1 on a split each time. A split pays 17 to 1, and there are 2 ways in 38 to win. Find the amount of money the casino is expected to win.

8. A gambler plays roulette, and makes a \$1 bet on four numbers, 400 times. The bet pays 8 to 1. Find the SD of the box model that would go with this situation.

9. A gambler plays roulette 200 times, betting \$1 on a split each time. A split pays 17 to 1, and there are 2 ways in 38 to win. (We are interested in the the casino making more than \$10.) Find the casino's standard error for the sum.

10. A gambler plays roulette 200 times, betting \$1 on a split each time. A split pays 17 to 1, and there are 2 ways in 38 to win. (We are interested in the casino making more than \$10.) Find the average of the box.

11. A gambler plays roulette 200 times, betting \$1 on a split each time. A split pays 17 to 1, and there are 2 ways in 38 to win. (We are interested in the casino making more than \$10 from these plays.) Find the standard deviation of the box.

12. A gambler plays roulette 200 times, betting \$1 on a split each time. A split pays 17 to 1, and there are 2 chances in 38 to win. Find the chance that the casino makes more than \$10 from these plays.

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