Which equation implies that A and B are independent events?

P(A B) = P(A)

P(B)

P(A) = P(B)
P(B|A) = P(A)
P(A B) = P(A) P (B)
P(A|B) = P(B|A)

Question

Which equation implies that A and B are independent events?

P(A   B)	=	P(A)

P(B)

P(A) = P(B)
P(B|A) = P(A)
P(A   B) = P(A)      P (B)
P(A|B) = P(B|A)

ybarrap · Answer

It's hard to read your options, but P(A|B) = P(A) implies A is independent

anonymous · Answer

sorry, but the first one is P(A) over P(B)

ybarrap · Answer

Over B?

Like this P(A)/P(B) or P(A\B) or P(A|B) ?

anonymous · Answer

for independent events $$p(a \cap b )= p(a)*p(b)$$

ybarrap · Answer

You can also have independent events
if P(AB)=P(A)P(B) or P(B|A)=P(B)

anonymous · Answer

The intersection symbol is missing from them

ybarrap · Answer

There is a Section called "Latex Practicing" that will help you to quickly come up to speed with writing symbols that is very helpful. 

But I think you have the info you need. Use AND instead of $\cap$ and use OR instead of $\cup$ for now .