A gambler rolls two dice and stands to loss Rs.2/- if he fails to throw a six ; to winRs.4/- he must throw one six and to win Rs.10/- he must throw 2 sixes. Is the gamefair?

Ans:
Hello Student,
Please find answer to your question below

Total number of possibilities on two dice
36
Number of possibilities with 6 on both dice
1
Number of possibilities with 6 on one dice
10
Number of possibilities with 6 on neither of dice
25
So lets calculate the amount of the money


Both amount are same for winning and losing.
So the game is fair.