SOLUTION: Can someone please help me with this? Given P(A) = .40, P(B) = .50. If A and B are independent, find P(A∩B).

Algebra.Com
Question 198628: Can someone please help me with this?


Given P(A) = .40, P(B) = .50. If A and B are independent, find P(A∩B).
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Given P(A) = .40, P(B) = .50. If A and B are independent, find P(A∩B).
---------------------------------
P(A and B) = P(A|B)*P(B)
---
If you assume that A and B are independent you get:
P(A and B) = P(A)*P(B) = 0.4*0.5 = 0.2
------------
If you cannot assume that A and B are independent
you don't have enough information to determine
P(A and B).
================
Cheers,
Stan H.
RELATED QUESTIONS

Given P(A) = 0.10, P(B) = 0.31. If A and B are independent, find P(A ∩... (answered by Elomeht)
please help me with this problem using the data below: P(A ∪ B) = .9, P(B) = .7,... (answered by ikleyn)
Can you help me with this probability problem:

If P(A or B)=0.60 and P(A)=0.20,... (answered by stanbon)

If P(A) = 0.4, P(B) = 0.7, and A and B are independent, find P(A or B) Please... (answered by jim_thompson5910)
If A and B are dependent and P(A|B)=0.15 then P(B|A)= P(A∩B)= I hope... (answered by Edwin McCravy)
Given P(A) = .40, P(B) = .50, and P(A ∩ B) = .05, find (a) P(A ∪ B), (b)... (answered by stanbon)
You are given two events, A and B with the following conditions. P(A | B) = 0.30, P(B |... (answered by Edwin McCravy)
Please help me solve this in simple way. Thank You. If P(A)=0.2, P(B)=0.6, \ and... (answered by stanbon)
I am stuck on this problem, I get how to discover the independent values, but not for the (answered by math_helper)