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-rw-r--r--houdre/01_foundations1
-rw-r--r--houdre/hw1.tex2
2 files changed, 1 insertions, 2 deletions
diff --git a/houdre/01_foundations b/houdre/01_foundations
index aedcdd2..b703fa3 100644
--- a/houdre/01_foundations
+++ b/houdre/01_foundations
@@ -18,7 +18,6 @@ Cardinality of empty set is 0. (why is this a convention and not a
self-evident fact?)
Card S = #S = cardinality of S
-
Flip a coin until first tail, and stop. Count # of flips.
Omega = {1,2,3,...} = Natural numbers. (Sometimes also {0,1,2,...})
Card N = +\infty
diff --git a/houdre/hw1.tex b/houdre/hw1.tex
index c06f5fa..e49bd49 100644
--- a/houdre/hw1.tex
+++ b/houdre/hw1.tex
@@ -144,7 +144,7 @@ $$\Pr(A\cup B) = \Pr(A\setminus B)+\Pr(B\setminus A)+\Pr(A\cap B)$$
$$= (\Pr(A\setminus B)+\Pr(A\cap B)) + (\Pr(B\setminus A)+\Pr(A\cap B)) -
\Pr(A\cap B)$$
$$= \Pr(A) + \Pr(B) - \Pr(A\cap B)
-= \sum_i \Pr(A_i) - \sum_{i<j} \Pr(A_i\cap A_j).$$
+= \sum_i \Pr(A_i) - \sum_{i<j} \Pr(A_i\cap A_j).$$
Let the above be considered a base case, with the successive case
$U_n = U_{n-1}\cup A_n.$