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 TotalLiberal202112Conservative201413Total403525What is P(liberal | State B)? (1 point)5347100

Answer 1

For the given question, we will use the following rule of conditional probability:

`\begin{gathered} P(M\text{ }and\text{ }N)=P(M)*P(N|M) \\ \\ So,\text{ }P(N|M)=\frac{P(M\text{ }and\text{ }N)}{P(M)} \end{gathered}`

We need to find P(liberal | State B)

Let N = liberal, and M = state B

So, the total number of voters from state B = 35

And the number of voters is liberal from state B = 21

So, the probability will be as follows:

`P(liberal|StateB)=(21)/(35)=0.6`

So, the answer will be option 4) 0.6