Can you do problem 2 please?

Problem2: A) Let A and B be two events such that: P(B)=0.3,P(AB)=0.7. Answer to the following questions: 1) Compute P(AB). 2) If P(AB)=0.1, what is P(A) ? 3) Compute P[(AB)c]. 4) Compute P(AcBc). B) Let A,B,C be some events. Show the following identities. A mathematical derivation is required, but you can use diagrams to guide your thinking. 1) P(ABC)=P(A)+P(B)+P(C)P(AB)P(BC)P(AC) +P(ABC) 2) P(ABC)=P(B)+P(ABc)+P(CAcBc) C) Let A and B be two events. Use the axioms of probability to prove the following: 1) P(AB)P(A)+P(B)1. 2) P(ABC)P(A)+P(B)+P(C)2. 3) The probability that one and only one of the events A or B occurs is P(A)+P(B)2P(AB)