Question

Suppose that E and F are two events and that N(E and F) = 280 and N(E) = 400. What is P(FIE)?P(FIE)(Round to three decimal places as needed.)

Answer 1

`P(F\text{ / E) = 0.700 (3 decimal place)}`Step-by-step explanation:

N(E and F) = 280

N(E) = 400

P(FIE) = ?

Using conditional probability:

`P\mleft(F\text{ / E}\mright)\text{ = }\frac{N(E\text{ and F)}}{N(E)}`
`\begin{gathered} P(F\text{ / E) = }(280)/(400) \\ P(F\text{ / E) = }0.7 \\ \\ To\text{ 3 decimal place, }P(F\text{ / E) = 0.700} \end{gathered}`