partially unfinished math notes

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+HW adds problems: 9,10,14,16,17,19,20
+Will be due on Thursday or maybe two Tuesdays from now.
+
+A sequence is increasing if for all n >= 1, A_n \subset A_{n+1}
+
+P(Union of A_1..A_\infty) = \sum
+
+<=====>
+
+For increasing series lim_n->\inf P(A_n) = \sum_1^\inf P(A_i)
+
+For pairwise disjoint A_1..A_n, P(A_1)+...+P(A_n) = P(\union A_1..A_n)
+
+Conditional probability:
+let A and B be two events where P(B) > 0.
+P(A|B) = P(A\cap B)/P(B).
+
+Given, for ex., one child is a girl, the odds of the other being a girl
+is 1/3 because the restricted sample space is {(G,B),(B,G),(G,G)}