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Can someone please help? Simulations were used to fill in the following chart of data looking...

Can someone please help? Simulations were used to fill in the following chart of data looking at expected value. Casino is offering a new game if you roll two dice and the difference between the dice =1, player wins $5. Otherwise player loses $2. Please answer the questions below.

TRIAL VALUES OF DICE DIFFERENCE WIN/LOSS AMOUNT
EXAMPLE (3,6) 6-3=3 -$2
1 (3,1) 3-1=2 -$2
2 (1,4) 4-1=3 -$2
3 (5,3) 5-3=2 -$2
4 (2,1) 2-1=1 +$5
5 (5,6) 6-5=1 +$5
6 (6,1) 6-1=5 -$2
7 (6,2) 6-2=4 -$2
8 (6,3) 6-3=3 -$2
9 (1,4) 4-1=3 -$2
10 (2,5) 5-2=3 -$2
11 (6,6) 6-6=0 -$2
12 (5,5) 5-5=0 -$2
13 (3,3) 3-3=0 -$2
14 (5,2) 5-2=3 -$2
15 (4,2) 4-2=2 -$2
16 (1,6) 6-1=5 -$2
17 (2,4) 4-2=2 -$2
18 (4,2) 4-2=2 -$2
19 (1,4) 4-1=3 -$2
20 (4,4) 4-4=0 $2
TOTAL WON/LOST: +$10/-$36
AVERAGE WIN/LOSS PER GAME:

A) Compute total won(please check my answer) and lost as well as average win and loss per game. B) Based on data chart above, do you think the casino should offer this game? Explain why or why not. C) Using theoretical probability write out the sample space for rolling two dice. There should be a total of 36 possible outcomes. D) Using your sample space from above in part A, what is the probability that the player wins? What is the probability the player loses? E) Using Part B, compute the expected value of this fame to the player using theoretical probability. Round answer to two decimal places. F) Interpret the expected value of this game to the player, and explain why or why not you think the casino should continue offering this game. G) Does your empirical average win/loss per game match your theoretical expected value? Should these values match? explain why or why not. H) How could the casino change the winning amount to make this into a fair game where neither the casino nor the player have an expected value advantage?

math   Statistics-And-Probability   
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