There are 3 ways to win money in the game. The number you picked can come up in one dice, 2 dice or 3 dice. The probability of the number you picked coming in all three dice =(
1
6
)*(
1
6
)*(
1
6
)=
1
(216)
The probability of the number picked coming on 2 dice = 3C2*(
5
6
)*(
1
6
)*(
1
6
)=
15
(216)
The probability of the number picked coming on 1 dice = 3C1*(