the necessary calculation table:-
| x (in $) | P(x) |
![]() |
| -2 | 1/6 | -2*1/6 = -1/3 |
| 4 | 1/6 | 2/3 |
| -6 | 1/6 | -1 |
| 8 | 1/6 | 4/3 |
| -10 | 1/6 | -5/3 |
| 12 | 1/6 | 2 |
| sum = 1 |

the expectation of the game is $1 .
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