Sets

**heathrowjohnny** · January 24th 2008, 04:51 PM

If $A \subseteq B$ , show that $P(A) \leq P(B)$ .

So $B = A \cup (A' \cap B)$

And $P(A \cup B) = P(B)$ , $P(A \cap B) = P(A)$ , and $P(A) = P(B) - P(A' \cap B) = P(A \cup B) - P(A' \cap B)$ .

Does this imply that $P(A) \leq P(B)$ ?

**Plato** · January 25th 2008, 03:43 AM

$0 \le P\left( {A' \cap B} \right)\; \Rightarrow \;P(A) \le P(A) + P\left( {A' \cap B} \right) = P(B)$

Thread: Sets

LinkBack

Thread Tools

Display

Sets

Similar Math Help Forum Discussions

Open sets and sets of interior points

Metric spaces, open sets, and closed sets

3 sets of 5 pieces of data. Compare and contrast the three sets. Comment briefly on t

Approximation of borel sets from the top with closed sets.

how to show these sets are 95% confidence sets

Search Tags