Given that events A and B are independent with P, left parenthesis, A, right parenthesis, equals, 0, point, 7P(A)=0.7 and P, left parenthesis, B, right parenthesis, equals, 0, point, 4, 1P(B)=0.41, determine the value of P, left parenthesis, A, intersection, B, right parenthesisP(A∩B), rounding to the nearest thousandth, if necessary.

Given P, left parenthesis, A, right parenthesis, equals, 0, point, 4P(A)=0.4, P, left parenthesis, B, right parenthesis, equals, 0, point, 2, 6P(B)=0.26 and P, left parenthesis, A, or , B, right parenthesis, equals, 0, point, 4, 3, 6P(A or B)=0.436, find the value of P, left parenthesis, A, and , B, right parenthesisP(A and B), rounding to the nearest thousandth, if necessary.

Given P, left parenthesis, A, right parenthesis, equals, 0, point, 5P(A)=0.5, P, left parenthesis, B, right parenthesis, equals, 0, point, 3, 3P(B)=0.33 and P, left parenthesis, A, and , B, right parenthesis, equals, 0, point, 2, 4, 5P(A and B)=0.245, find the value of P, left parenthesis, B, vertical bar, A, right parenthesisP(B∣A), rounding to the nearest thousandth, if necessary.

Suppose that A and B are independent events such that =PA0.20 and =PB0.30.Find P∩AB and P∪AB. (If necessary, consult a list of formulas.)(a) =P∩AB(b) =P∪AB

Let A and B be two events such that =PA0.07 and =PB0.28.Do not round your responses. (If necessary, consult a list of formulas.)(a) Determine P∪AB, given that A and B are mutually exclusive.(b) Determine P∪AB, given that A and B are independent.

For two events A and B, P(A) = 0.4, P(B) = 0.7 and P(A  B) = 0.2. Find P(A  B)._______________________________________________________________________13 For two events A and B, P(A) = 0.4, P(B) = 0.7 and P(A  B) = 0.3. Find P(A  B)._______________________________________________________________________14 For two events G and H, P(G) = 0.5, P(G  H) = 0.2 and P(G  H) = 0.6. Find P(H).