I hate probability

Events A and B are independent. P(A) = P(B) = 1/4. What is P(A ∪ B)? 

1) First, find the P(A ∩ B). 

P(A ∩ B) = P(A) x P(B) 

P(A ∩ B) = 1/4 x 1/4 = 1/16

2) Now that we know what the intersection is, we can find P(A ∪ B).

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

P(A ∪ B) = 1/4 + 1/4 - 1/16 = 7/16

 The Answer:

P(A ∪ B) = 7/16