We have one 4 sided die and a 6 sided one. We are tossing them together and observing their sum.

X: sum of the dice

From a previous part

P(4)= 3/24

P(7)= 4/24

Now we are throwing the dice over and over what is the probability that a sum of 4 appears before a sum of 7 ?

How do I tackle this kind of a problem ?