## Pulsified333 one year ago about independent events E and F in a sample space S, but assume that Pr[E]=0.2 and Pr[F]=0.4. Compute the following conditional probabilities: (1) Pr[E′|F]= (2) Pr[E|F′]=

1. misty1212

if they are independent, then multiply

2. Pulsified333

hello again :D

3. misty1212

hi!!

4. Pulsified333

but what happens if its the complement of one of them

5. misty1212

if they are independent then $P(E'|F)=P(E')P(F)$

6. Pulsified333

oh sweet :D

7. misty1212

should be pretty clear that if the events are independent, then so are the compliments etc q

8. Pulsified333

that didn't work

9. Pulsified333

@misty1212

10. misty1212

hmm i see my mistake

11. Pulsified333

oh

12. misty1212

to find$P(E'|F)=\frac{P(E'\cap F)}{P(F)}=\frac{P(E')P(F)}{P(F)}=P(E')$ which is a silly way of saying that if E' and F are independent then $$P(E'|F)=P(E')$$