A lot of 10 components contain 3 that are defective. Two components are drawn at random and

Question:

A lot of 10 components contain 3 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective.
a. Find P(A).
b. Find P(B|A).
c. Find P(A ∩ B).
d. Find P(Ac ∩ B).
e. Find P(B).
f. Are A and B independent? Explain.