example 15.1
Is it sufficient to say that A and B are not independent because P($A^C) *P(B)= .42 which is not .5?
christinetat: Feb. 27, 2015, 6:53 p.m.
No it is not. Independence, P(A intersect B) is strictly equal to P(A) * P(B), thus explaining why the example goes to great lengths to acquire what P(B) equals (and P(A) is given).
weisbart: March 8, 2015, 1:12 p.m.
That's right, you have to know what the probabilities of $A$ and $B$ are as well as the probability of $A\cap B$