Question

Suppose that E and F are two events and that
Upper P left parenthesis Upper E and Upper F right parenthesisP(E and F)equals=0.30.3
and
Upper P left parenthesis Upper E right parenthesisP(E)equals=0.40.4.
What is
Upper P left parenthesis F|E right parenthesisP(F|E)​?
Upper P left parenthesis F|E right parenthesisP(F|E)equals=nothing
​(Type an integer or a​ decimal.)

Answer 1

Answer:

P(F | E)  = 0.75

Step-by-step explanation:

It is given that P(E $\cap$ F) = 0.3

It is also given that P(E) = 0.4

P(F | E)  = $\frac{P(E \cap F)}{P(E)} = \frac{0.3}{0.4} = 0.75$

Therefore P(F | E)  = 0.75

This is the conditional probability that the event F occurs given that event E has occurred.

This conditional probability is found by dividing the probability of events E and F occurring by the probability of event E occurring.