Events A and B are independent with P(A) = 1/4 and P(AUB) = 2/3
Find:
b) P(B)
Independent so P(A)P(B) = P(ANB) therefore = 1/4P(B)
So P(A) + P(B) - P(ANB) = P(AUB)
Therefore 1/4 + 3/4P(B) = 2/3
Therefore 2/3 - 1/4 = 5/12
P(B) = 5/12 over 3/4 = 5/9 right??
c) P(A'|B) = ??
d) P(B'|A) = ??