If P(A)=51 % and P(B)=65 %, what must P(A and B) equal to prove that P(A) and P(B) are independent events?(1 point)

Question

Responses

65%
65%

58%
58%

51%
51%

33%

Answer 1

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%.