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A gambler plays roulette 100 times betting a dollar on a column (12 numbers) each time. If the ball lands in the column the gambler wins $2, if it lands in any one of the other 26 slots he loses $1. The following questions deal with translating this game into a box model. 1. How many draws are there? 2. What is in the box? 38 tickets: twelve 1's and 26 0's. 38 tickets: Some are $2, some are $-1, but we do not know how many of each kind until she plays 100 times. 38 tickets: twelve $2's and 26 $-1's. 100 tickets: Some are $2, some are $-1, but we do not know how many of each kind until she plays 50 times. 38 tickets: One each of 1 to 36, plus a 0 and a 00. 3. What is the average in the box? Type it as a fraction. (Hint: There are 38 tickets in the box, so the denominator of the fraction is 38) 4. In 100 plays, the gambler's net gain will be around (ROUND TO THE NEAREST WHOLE NUMBER) $ give or take (ROUND TO THE NEAREST WHOLE NUMBER) $ (SD of box = 1.4) or so. (Fill in the first blank with the EV and the second blank with the SE.) Suppose we were interested in how many times the gambler should win in problem 2 above (instead of how many dollars he should win). 5. Now what's in the box? 100 tickets: Some are 2, some are -1, but we do not know how many of each kind until she plays 50 times. 38 tickets: Some are 2, some are -1, but we do not know how many of each kind until she plays 100 times. 38 tickets: twelve 1's and 26 0's. 38 tickets: twelve 2's and 26 -1's. 38 tickets: One each of 1 to 36, plus a 0 and a 00. 6. What is the average in the box? TYPE AS A FRACTION WARNING: MAKE SURE TO ROUND YOUR ANSWER TO THE NEAREST WHOLE NUMBER. It will get marked wrong if you don't! 7. In 100 plays, the gambler should win (ROUND TO THE NEAREST WHOLE NUMBER) times, give or take (ROUND TO THE NEAREST WHOLE NUMBER) (SD of box = 0.465) times or so. HINT: Fill in the first blank with the EV of the sum and the second blank with the SE of the sum.

A gambler plays roulette 100 times betting a dollar on a column (12 numbers) each time. If the ball lands in the column the gambler wins $2, if it lands in any one of the other 26 slots he loses $1. The following questions deal with translating this game into a box model.
1. How many draws are there?
2. What is in the box?
38 tickets: twelve 1's and 26 0's.
38 tickets: Some are $2, some are $-1, but we do not know how many of each kind until she plays 100 times.
38 tickets: twelve $2's and 26 $-1's.
100 tickets: Some are $2, some are $-1, but we do not know how many of each kind until she plays 50 times.
38 tickets: One each of 1 to 36, plus a 0 and a 00.
3. What is the average in the box? Type it as a fraction. (Hint: There are 38 tickets in the box, so the denominator of the fraction is 38)
4. In 100 plays, the gambler's net gain will be around (ROUND TO THE NEAREST WHOLE NUMBER) $ give or take (ROUND TO THE NEAREST WHOLE NUMBER) $ (SD of box = 1.4) or so. (Fill in the first blank with the EV and the second blank with the SE.)
Suppose we were interested in how many times the gambler should win in problem 2 above (instead of how many dollars he should win).
5. Now what's in the box?
100 tickets: Some are 2, some are -1, but we do not know how many of each kind until she plays 50 times.
38 tickets: Some are 2, some are -1, but we do not know how many of each kind until she plays 100 times.
38 tickets: twelve 1's and 26 0's.
38 tickets: twelve 2's and 26 -1's.
38 tickets: One each of 1 to 36, plus a 0 and a 00.
6. What is the average in the box? TYPE AS A FRACTION
WARNING: MAKE SURE TO ROUND YOUR ANSWER TO THE NEAREST WHOLE NUMBER. It will get marked wrong if you don't!
7. In 100 plays, the gambler should win (ROUND TO THE NEAREST WHOLE NUMBER) times, give or take (ROUND TO THE NEAREST WHOLE NUMBER) (SD of box = 0.465) times or so. HINT: Fill in the first blank with the EV of the sum and the second blank with the SE of the sum.

$A gambler plays roulette 100 times betting a dollar on a column (12 numbers) each time. If the ball lands in the column the gambler wins 2, if it lands in any one of the other 26 slots he loses1. The following questions deal with translating this game into a box model. 1. How many draws are there? 2. What is in the box? 38 tickets: twelve 1's and 26 0's. 38 tickets: Some are 2, some are-1, but we do not know how many of each kind until she plays 100 times. 38 tickets: twelve 2's and 26-1's. 100 tickets: Some are 2, some are-1, but we do not know how many of each kind until she plays 50 times. 38 tickets: One each of 1 to 36, plus a 0 and a 00. 3. What is the average in the box? Type it as a fraction. (Hint: There are 38 tickets in the box, so the denominator of the fraction is 38) 4. In 100 plays, the gambler's net gain will be around (ROUND TO THE NEAREST WHOLE NUMBER) give or take (ROUND TO THE NEAREST WHOLE NUMBER) (SD of box = 1.4) or so. (Fill in the first blank with the EV and the second blank with the SE.) Suppose we were interested in how many times the gambler should win in problem 2 above (instead of how many dollars he should win). 5. Now what's in the box? 100 tickets: Some are 2, some are -1, but we do not know how many of each kind until she plays 50 times. 38 tickets: Some are 2, some are -1, but we do not know how many of each kind until she plays 100 times. 38 tickets: twelve 1's and 26 0's. 38 tickets: twelve 2's and 26 -1's. 38 tickets: One each of 1 to 36, plus a 0 and a 00. 6. What is the average in the box? TYPE AS A FRACTION WARNING: MAKE SURE TO ROUND YOUR ANSWER TO THE NEAREST WHOLE NUMBER. It will get marked wrong if you don't! 7. In 100 plays, the gambler should win (ROUND TO THE NEAREST WHOLE NUMBER) times, give or take (ROUND TO THE NEAREST WHOLE NUMBER) (SD of box = 0.465) times or so. HINT: Fill in the first blank with the EV of the sum and the second blank with the SE of the sum.$

Added by Ricardo S.

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