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Prove that if A ∩ B = ∅, then P(A ∪ B) ≈ P(A) × P(B)...

Prove that if A ∩ B = ∅, then P(A ∪ B) ≈ P(A) × P(B)

Please answer questions in clear hand-writing and show me the full process, thank you. (Sometimes I get the answer which was difficult to read)

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