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51%
If P(A) = 51% and P(B) = 65%, for them to be independent events, P(A and B) must equal the product of P(A) and P(B).
Therefore, P(A and B) = P(A) x P(B) = 0.51 x 0.65 = 0.3315 or 33.15%. So, to prove that P(A) and P(B) are independent events, P(A and B) must be equal to 33%.