## Libniz Group Title how are disjoint and independent different one year ago one year ago

1. Zarkon Group Title

Two events A and B are disjoint if $$A\cap B=\emptyset$$ A and B are independent if $$P(A\cap B)=P(A)\times P(B)$$

2. Libniz Group Title

thanks

3. Libniz Group Title

so if A and B were disjoint P(A U B)= P(A)+P(B) ?

4. Zarkon Group Title

another way to look at it if A and B are disjoint...then if I know event A occurs then that means that B cannot occur..thus A and B are dependent (provided their individual probabilities are nonzero)

5. Zarkon Group Title

yes

6. Libniz Group Title

I will remember that" when it is disjoint it is not independet"

7. Zarkon Group Title

correct...provided the nonzero probabilities

8. Libniz Group Title

ok

9. Zarkon Group Title

since if P(A)=0 then $$P(A\cap B)=0$$ and thus $0=P(A\cap B)=P(A)\times P(B)=0\times P(B)=0$