## Pulsified333 one year ago involving sets E and F. Suppose for this problem that Pr[E]=17/24 and Pr[F]=13/24. Just as in the book, Pr[(E∪F)′]=0. (1) What is Pr[E|F]? (2) What is Pr[F|E]?

1. Pulsified333

@dan815

2. anonymous

$P(E\cup F)'=0$ means everything is either in E or F or both nothing is outside the total therefore in E and F is 1

3. Pulsified333

so how do i find the intersection of E and F

4. Pulsified333

@satellite73

5. Zarkon

$P(E\cup F)=P(E)+P(F)-P(E\cap F)$

6. Pulsified333

so is the Union of E and F 30?

7. Pulsified333

i still do not get how to find the intersection

8. Zarkon

solve the equation I wrote above...then plug in numbers

9. anonymous

where does the 30 come from?

10. anonymous

oh nvm i see, it is the numerator $\frac{30}{24}$ which is of course the probability of nothing, since it is larger than one what needs to be subtracted?

11. Pulsified333

right

12. Pulsified333

im still confused on how to do this