Question 231225: Find the following probabilities:
A)Events A and B are mutually exclusive events defined on a common sample space. If P(A) = 0.4 and P(A or B)= 0.65, find P(B).
B)Events A and B are defined on a common sample space. If P(A)= 0.30, P(B)= 0.50,P(A or B) = 0.60, find P(A and B).
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A)Events A and B are mutually exclusive events defined on a common sample space. If P(A) = 0.4 and P(A or B)= 0.65, find P(B).
-----------
If A and B are mutually exclusive,
P(A or B) = P(A)+ P(B)
0.65 = 0.4 + +P(B)
P(B) = 0.25
=========================
B)Events A and B are defined on a common sample space. If P(A)= 0.30, P(B)= 0.50,P(A or B) = 0.60, find P(A and B).
---
P(A and B) = P(A)+P(B)-P(A or B)
P(A and B) = 0.3 + 0.5 - 0.6
---
P(A and B) = 0.2
============================
Cheers,
Stan H.
|
|
|
