anonymous one year ago According to the general equation for conditional probability, if P(A^B)= 2/3 and P(B)= 3/4, what is P(A|B)? A. 15/16 B. 24/25 C. 8/9 D. 35/36

1. jim_thompson5910

hint: $\Large P(A|B) = \frac{P(A \cap B)}{P(B)}$

2. anonymous

Maybe I'm just an idiot? I'm still not getting any of the answers

3. jim_thompson5910

Do you have this so far? $\Large P(A|B) = \frac{P(A \cap B)}{P(B)}$ $\Large P(A|B) = \frac{2/3}{3/4}$

4. anonymous

yes

5. jim_thompson5910

when you divide 2/3 over 3/4, you're really multiplying 2/3 by 4/3 the second fraction flips and you multiply

6. anonymous

7. jim_thompson5910

yes

8. jim_thompson5910

since 2/3 times 4/3 = 8/9