3-19. For events A,B S, demonstrate that: (a) if B A, then P(B) P(A)...

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3-19. For events A,B ⊆ S, demonstrate that:

(a) if B ⊆ A, then P(B) ≤ P(A)

(b) P(A ∩ B) ≥ 1 − P(A) − P(B)

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