Question

Events E and F in a sample space S.
Assume that Pr[E]=17/30, Pr[F|E]=12/17, and Pr[E′∩F′]=1/5.

(1) Pr[F]=


(2) Pr[E∩F]=

Answer 1

#2 is 102/255

Answer 2

Welcome to OpenStudy! I'm not sure on this, but maybe @freckles or @hero can help :)

Answer 3

what!?! what is PR mean? Please don't say probability.

Answer 4

question makes no sense to me, a probability is never larger than 1

Answer 5

sorry i fixed it @satellite73

Answer 6

that's better

Answer 7

\[P(F|E)=\frac{P(F\cap E)}{P(E)}\]

Answer 8

you can use that to find \[P(F\cap E)\]

Answer 9

i already found F∩E which is 102/255

Answer 10

oh no !

Answer 11

\[P(F\cap E)=\frac{17}{30}\times \frac{12}{17}=\frac{12}{30}=\frac{2}{5}\]

Answer 12

@satellite73 isn't P(F∩E) = Pr(F|E) * Pr(E)?