- #1
brendan
- 65
- 0
Hi Guys,
I have been given the following Question.
Given that P(A) = 0.4 and P(AorB) = 0.9 Find P(B) if A and B are independent.
I know That if the're independent
P(A&B) = P(A)P(B)
P(AorB) = P(A) + P(B) - P(A&B)
And as the're independent
P(A|B) = P(A)
and
P(A|B) = P(A&B)/P(B)
As P(A&B) = P(A) + P(B) - P(A&B)
I know P(A) = 0.4, P(A|B) = 0.4 P(AorB)= 0.9 and
P(AorB) <= P(A) + P(B)
0.9 <= 0.4 + P(B)
Which implies that P(B) <= 0.5
I'm Trying to find P(B) however I'm having a lot of difficulty finding P(A&B).
Could someone please point me in the right direction of finding P(A&B)?
Kindest regards
Brendan
I have been given the following Question.
Given that P(A) = 0.4 and P(AorB) = 0.9 Find P(B) if A and B are independent.
I know That if the're independent
P(A&B) = P(A)P(B)
P(AorB) = P(A) + P(B) - P(A&B)
And as the're independent
P(A|B) = P(A)
and
P(A|B) = P(A&B)/P(B)
As P(A&B) = P(A) + P(B) - P(A&B)
I know P(A) = 0.4, P(A|B) = 0.4 P(AorB)= 0.9 and
P(AorB) <= P(A) + P(B)
0.9 <= 0.4 + P(B)
Which implies that P(B) <= 0.5
I'm Trying to find P(B) however I'm having a lot of difficulty finding P(A&B).
Could someone please point me in the right direction of finding P(A&B)?
Kindest regards
Brendan