aboutsummaryrefslogtreecommitdiff
path: root/houdre/04_foundations
blob: 2fef43b57f6098235976cc239834a8bebd2c3f98 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
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)}