Can someone explain in depth. a.) Consider two events A and B such that P(A ⋃ B) = 0.7, P(A) = 0.5 , and P(B) = 0.3 Find

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Can someone explain in depth.
a.) Consider two events A and B such that P(A
⋃ B) = 0.7, P(A) = 0.5 , and P(B) = 0.3
Find the following probability: P(A ⋂ B) =
b). Consider two events A and B such that P(A)
= 0.7, P(B) = 0.6 , and P(A ⋂ B) = 0.4. Consider the following Venn
diagram and assign probability to each disjoint portion as denoted
below.
Region 1: P(A \ B)=  
Region 2: P(A ⋂ B) =  
Region 3: P(B \ A) =  
Region 4: P(AC ⋂ BC) =