crybloodwing
New member
- Joined
- Aug 22, 2017
- Messages
- 29
So I already did this question but without the condition that A and B are independent. In this, p(A)=.1.
I know if A and B are independent, then p(A and B) = p(A)p(B).
Therefore, p(A u B)= p(A)+p(B)-p(A)p(B).
So, 0.5 = p(A)+p(B)-p(A)p(B).
I have tried multiple ways to figure out what p(A) is, but I am unable to figure out what the p(B) is, which I think I need to solve this. I have tried drawing pictures also. I know that the complement of p(A u (B^c)) is .4, which I got from 1-p(A u (B^c)).
I know if A and B are independent, then p(A and B) = p(A)p(B).
Therefore, p(A u B)= p(A)+p(B)-p(A)p(B).
So, 0.5 = p(A)+p(B)-p(A)p(B).
I have tried multiple ways to figure out what p(A) is, but I am unable to figure out what the p(B) is, which I think I need to solve this. I have tried drawing pictures also. I know that the complement of p(A u (B^c)) is .4, which I got from 1-p(A u (B^c)).