combining 2 probabilities

I have 2 probabilities

p1 is the probability that team A will **score** 0 goals

p2 is the probability that team B will **concede** 0 goals

how do i combine the 2 and calculate the probability of team A scoring 0 goals into team B?

should the probability of A **scoring** 0 goals into team B not be the same as the probability of team B **conceding** 0 goals from team A?

Is it as simple as p1*p2? I thought i might need to use conditional probability to work out the intersection of p1 and p2, but it doesnt seem to look right when I do it

thanks for any help

neil