A poll was conducted in states A, B, and C to determine which candidate voters would most likely vote for. The results are displayed in the table below:

State A State B State C Total
Liberal 17 20 12 49
Conservative 23 15 13 51
Total 40 35 25 100

What is P(conservative | State B)?
0.35

0.43

0.49

0.57

Question

A poll was conducted in states A, B, and C to determine which candidate voters would most likely vote for. The results are displayed in the table below:


 	State A	State B	State C	Total
Liberal	17	20	12	49
Conservative	23	15	13	51
Total	40	35	25	100


What is P(conservative | State B)?
 0.35

 0.43

 0.49

 0.57

kirbykirby · Answer

$$P(\text{conservative }|\text{ state B})=\frac{P(\text{conservative } \cap \text{ state B})}{P(\text{state B})}=\frac{15/100}{35/100}=3/7=0.43 $$