Event A occurs with probability 0.1 and event B with probability 0.5

Question

A) What is the maximum probability that the intersection of A and B can have?
B) What is the minimum probability that the intersection of A and B can have?
C) If it is know that P(A complement and B complement) = .47, find P(A or B) and P(A and B)
D) Draw a Venn diagram based on part c
E) Using parts can d d, find Probability of A given B.

Thanks!