Answer: if 1 represents the game at the top and 7 the game at the bottom, the order is 1, 6, 5, 2, 3, 7, 4
Step-by-step explanation:
in a game where the expected value is zero, if your probability to win is p and the entry cost is C, then you should win an amount W = C/p
then p = C/W
1) C = $5, W = $200
p = 5/200 = 0.025
2) C = $6, W = $300
p = 6/300 = 0.02
3) C = $9, W = $468
p = 9/468 = 0.019
4) C = $8, W = $440
´p = 8/440 = 0.0181
5) C = $7, W = $315
p = 7/315 = 0.0022
6) C = $4, W = $168
p= 4/168 = 0.024
7) C = $10, W = $540
p = 10/540 = 0.0185
Then the order, from least probability to greatest probability of winning is:
1, 6, 5, 2, 3, 7, 4