SOLUTION: prove that this true or false?
P(A union B) = P(A) union P(B)
Algebra.Com
Question 912297: prove that this true or false?
P(A union B) = P(A) union P(B)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
prove that this true or false?
P(A union B) = P(A) union P(B)
-----
Comment on the right side of the equation:
P(A) is a number
P(B) is a number
There is no union of numbers
Comment on the left side of the equation:
P(A union B) is a number
----
Conclusion: false
====================
True Formula: P(A union B) = P(A) + P(B) - P(A and B)
-------------------------
Cheers,
Stan H.
RELATED QUESTIONS
if A,B and C are mutually exclusive events and p(A) =0.2,p(B)=0.3 p(C)=0.2find (a) p(A... (answered by greenestamps)
Given that for two events A and B,P(A)=3/5,P(B)=2/3
and P(A union B) =3/4, what is... (answered by Edwin McCravy)
p(A)=0.50,P(A/B)=O.50,P(B)=0.80.
FIND p(A INTERSECTION B) AND P(A UNION B)
IS 'A' AND... (answered by ikleyn)
A and B are two mutually exclusive events such that p(A) = 0.4 p(B) = 0.3
Find p(A... (answered by Fombitz)
If A and B are independent events, P(A) = 0.4, and P(B) = 0.6, find the probabilities... (answered by nyc_function,jim_thompson5910)
If A and B are two events such that P(A) = 0.7 and P(B) = 0.5 and P((A u B)') = 0.1. Find (answered by ikleyn)
Events A and B are given such that P(A)=3/4, P(A union B)= 4/5 and P(A intersection... (answered by greenestamps)
(A union B)=(A union C) & (A intersection B)=(A intersection C) then PROVE THAT B=C
(answered by MathLover1)
True or False? And Why?
If P(E U F) = P(E) + P(F), what can be concluded about P(E and (answered by jim_thompson5910)