Assume that E and F are independent events. Use the given information to find Pr(F). Pr(E)equals=0.70.7 and Pr(F|E)equals=0.50.5 Find: Pr(F)

Question

asked Aug 12, 2020 156k views

1 Answer

Kunalxigxag · Answer 1 · 2020-08-19T07:53:43+0000

Answer:

P(F)=0.50

Explanation:

Given : Assume that E and F are independent events.

$P(E)\cdot P(F)=0.70$ and
P(F/E)=0.50

To find : Probability of F?

Solution :

When E and F are independents then,

$P(E\cap F)=P(E)\cdot P(F)$

The conditional probability of independent events is

$P(F/E)=(P(E\cap F))/(P(E))$

Substitute,

$P(F/E)=(P(E)\cdot P(F))/(P(E))$

P(F/E)=P(F)

Which means
P(F/E)=0.50=P(F)

Therefore, Probability of F is P(F)=0.50.