Say you test drive 3 different cars. Let A1 = You like car 1; A2 = You like car 2; and A3 = You like car 3. Suppose P(A1) = .5; P(A2) = .6; P(A3)=.7 and P(A1 or A2) = .8 and P(A2 and A3) = .4 and P(A1 or A2 or A3) = .9 d. Are A2 and A3 independent events? Make sure you can show your work for this in two ways.