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 16 23 10 49 Conservative 24 12 15 51 Total 40 35 25 100 What is P(conservative | State A)

Answer 1

I'm sorry, I didn't fully understand your question, but if it is What is the percent of liberal in State B the answer is 60%

x% * 35 = 21

x/100 * 35 = 21

35x/100 = 21

35x = 2100

x = 2100/35

x = 60

or 60 %

Answer 2

Answer:  P(conservative | State A) = 0.6.

Step-by-step explanation:

Since we have given that

                             State A    State B     State C           Total

Total liberal           16              23             10                  49

Conservative        24              12              15                  51

Total                      40              35             25                 100

We need to find P(conservative | State A).

So, we will use "Conditional probability":

$P(conservative\mid State A)=\dfrac{ P(conservative\cap State A)}{P(State\ A)}\\\\ P(conservative\mid State A)=\dfrac{24}{40}\\\\ P(conservative\mid State A)=0.6$

Hence, P(conservative | State A) = 0.6.