- #1
brendan
- 65
- 0
Homework Statement
Consider two events A and B such that p(A) = r and p(B) = s with r,s >0 and r + s > 1.
Show that
P(A|B) >or= 1- ( (1-r)/s)
Homework Equations
The Attempt at a Solution
By definition
P(A|B) = P(A & B) / P(B)
We know P(B) = s, so we need an inequality
p(A & B) >= something ... (*)
P(A & B) = P(A) + P(B) - P(A or B)
P(A) and P(B) are given, and we know P(A or B) <= 1
Now (1-r) = p(A'),
So how to I show that p(A & B) is > than p(A'),
regards
Brendan