A game involves a single fair dice to be tossed. A player wins if a 3 shows up; if a 5 shows up; loses if a 6 turns up. A player does not win anything for any other face of the dice. The values are tabulated below. Find the variance of the game in terms of money. Round the answer to two decimal places.
|
Face |
1 |
2 |
3 |
4 |
5 |
6 |
|
($) |
0 |
0 |
+30 |
0 |
+50 |
-40 |