Thank you! I was now able to figure it out!
Quick question: if they were not independent, rather they were dependant, could you use the rule Pr(A) * Pr(B) = Pr(A and B)?
The formula only applies if they are independent, so no.
Edit (if you want to know why):
Independent suggests the two events A and B literally do not affect each other in any way. So for example the probability of A happening given that B is true [i.e. Pr(A|B)] is no different to the probability of just A [i.e. Pr(A)]. So we can say that:
Pr(A|B) = Pr(A) when the two are independent.
And we know that Pr(A|B) = Pr(A and B) / Pr(B). Using the independence formula, Pr(A and B) = Pr(A) * Pr (B), so we can rewrite it as Pr(A) * Pr(B) / Pr(B). The Pr(B) cancels out and you are left with Pr(A|B) = Pr(A) when A and B are independent.
I hope that makes sense!