gambler plays roulette and makes a $1 bet on four numbers, 1000 times

1.A gambler plays roulette, and makes a $1 bet on four numbers, 1000 times. The bet pays 8 to 1. We are interested in finding the chance that the casino will make less than $300 from these plays. The expected value for the gambler's net gain is: $-18.75 $-22.66 $-16 $-25 $-52.63

2. A gambler plays roulette, and makes a $1 bet on four numbers, 1000 times. The bet pays 8 to 1. We are interested in finding the chance that the casino will make less than $300 from these plays. The SE for the gambler's net gain is: $2.76 $8.39 $87.34 $9.69 $67.93

3. A gambler plays roulette, and makes a $1 bet on four numbers, 1000 times. The bet pays 8 to 1. We are interested in finding the chance that the casino will make less than $300 from these plays. The chance that the gambler will win between $0 and $5 is about: 3.28% 48.43% 46.79% 1.64% 0.44%

4. A large group of people get together. Each one rolls a die 200 times, and counts the number of 4s. About what percentage of these people should get counts in the range 20 to 40? 45% 55% 88.90% 93% 78.87%


5. Find the probability that three cards are drawn from a deck, and you get two sixes, followed by a queen. 2/204 1/11050 8/16575 25/1352 None of these



6. A die is tossed, and you win $1 if you get more than 30% 6s. How many tosses should you make? 10 100


7. If drawing two cards from a deck, find the probability that the second card is the 4 of hearts, given that the first card is black. 1/52 1/51 4/51 1/2652 None of these



8. The law of averages says that after many tosses of a regular die, the difference between the expected number of threes, and the observed number of threes, will be close to 0. True False



9. A coin is tossed 80 times. Find the chance you get 35 heads.

12% 34.73% 45.15% 5.30% None of these



10. Empirical histograms converge toward the probability histogram as the number of repetitions increase. True False


11. Empirical histograms are based on observational values. True False


12. When the sample is large, the bias can be eliminated. True False

13. Quota sampling is a probability method. True False

14. A statistic can be computed from the sample and used to estimate a parameter. True False

15. In a probability method, the interviews have no discretion at all as to whom they interview. True False

16. Use the following information for #s 16 – 18. A “wheel of fortune” is spun. The wheel is shaped like a circle sectioned into 6 pie pieces. 2 of the spaces are red, 1 space is yellow, 2 are blue, and 1 is black. The pointer is as likely to stop on one segment as any other segment when the wheel is spun. If the pointer lands on red, you win $3, if it lands on any other color, you lose $2. Find your expected net gain after 200 plays. $-66.67 $-40 $50 $200 none of these

17. A “wheel of fortune” is spun. The wheel is shaped like a circle sectioned into 6 pie pieces. 2 of the spaces are red, 1 space is yellow, 2 are blue, and 1 is black. The pointer is as likely to stop on one segment as any other segment when the wheel is spun. If the pointer lands on red, you win $3, if it lands on any other color, you lose $2. Find the SE for the sum of the 200 draws. $48 $40 $200 $33.33 none of these


18. A “wheel of fortune” is spun. The wheel is shaped like a circle sectioned into 6 pie pieces. 2 of the spaces are red, 1 space is yellow, 2 are blue, and 1 is black. The pointer is as likely to stop on one segment as any other segment when the wheel is spun. If the pointer lands on red, you win $3, if it lands on any other color, you lose $2. What was the SD of the box model? 5 6.91 2 2.36 none of these



19. For #s 19- 21, use the following information: A gambler plays roulette, and makes a $1 bet on a pair of numbers, 4000 times. The bet pays 17 to 1, and it covers two numbers. We are interested in finding the chance that the casino will make less than $300 from these plays. Find the amount of money the casino is expected to make. $33.33 $66.67 $210.53 $157.63 None of these



20. A gambler plays roulette, and makes a $1 bet on a pair of numbers, 4000 times. The bet pays 17 to 1, and it covers two numbers. We are interested in finding the chance that the casino will make less than $300 from these plays. Find the standard error for the sum. $254.21 $56.76 $35.90 $4.71 none of these




21. A gambler plays roulette, and makes a $1 bet on a pair of numbers, 4000 times. The bet pays 17 to 1, and it covers two numbers. We are interested in finding the chance that the casino will make less than $300 from these plays. Find the chance the casino will make less than $300 from these plays. 83.85% 27.37% 36.32% 63.69% none of these



22. Find the chance that if you toss a pair of dice, you get 4 for the sum.
1/6 1/3 1/12 1/2 None of these



23. Use the following to answer #s 23-25. Consider a box containing 7 blue, 18 red, and 16 orange marbles. When drawing two marbles without replacement, the chance of drawing a blue, and then an orange is: 14/205 15/38 15/247 112/1681 1/15


24. Consider a box containing 7 blue, 18 red, and 16 orange marbles. Find the chance that both draws are orange. 256/1681 225/1681 6/41 35/247 None of these

25. Consider a box containing 7 blue, 18 red, and 16 orange marbles. Find the chance that neither draws are orange. 92/247 64/169 225/1681 15/41 None of these


26. A die is rolled three times. Find the chance that not all the rolls show 3 or more spots. 1/27 19/27 1/8 665/729 none of these


27. Find the probability that two cards are drawn from a deck, and you get a heart, followed by the ace of spades. 1/663 1/78 1/51 1/204 none of these


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