If A and B are dependent events, which of these conditions must be true?
a. P(A and B) = P(A) + P(B)

b. P(A and B) = P(B)
P(A)
c. P(B|A) = P(B)
d. P(A|B) = P(A)
e. P(B|A) ≠ P(B)

Question

If A and B are dependent events, which of these conditions must be true?
a. P(A and B) = P(A) + P(B)

b. P(A and B)	=	P(B)
P(A)
c. P(B|A) = P(B)
d. P(A|B) = P(A)
e. P(B|A) ≠ P(B)

satellite73 · Answer

a bunch of them

satellite73 · Answer

the definition is this
A and B are independent if $$P(A|B)=P(A)$$ 
the left hand side of the equal sign is $$\frac{P(A\cap B)}{P(B)}$$so it also says $$\frac{P(A\cap B)}{P(B)}=P(A)$$

satellite73 · Answer

you can change this equality around using algebra

xenesis98 · Answer

so D.?

reemii · Answer

not only. satellite73 gave a hint.

xenesis98 · Answer

oh ok