Question

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′]=

Answer 1

if they are independent, then multiply

Answer 2

hello again :D

Answer 3

hi!!

Answer 4

but what happens if its the complement of one of them

Answer 5

if they are independent then
\[P(E'|F)=P(E')P(F)\]

Answer 6

oh sweet :D

Answer 7

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

Answer 8

that didn't work

Answer 9

@misty1212

Answer 10

hmm i see my mistake

Answer 11

oh

Answer 12

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 \(P(E'|F)=P(E')\)