Question

Suppose that E and F are two events and that Upper P (Upper E and Upper F )equals0.3 and Upper P (Upper E )equals0.5. What is Upper P (F|E )​? Upper P (F|E )equals nothing ​(Type an integer or a​ decimal.)

Answer 1

`P((F)/(E)) =(0.3)/(0.5) =0.6`

Explanation:

Step 1:-

Suppose that E and F are two events and that P(E n F) = 0.3

also given P(E) =0.5

Conditional probability:-

if E₁ and E₂ are two events in a Sample S and P(E₁)≠ 0, then the probability of E₂ , after the event E₁ has occurred, is called the Conditional probability

of the event E₂ given E₁ and is denoted by

`P((F)/(E)) = (P(EnF))/(P(E))`

`P((F)/(E)) =(0.3)/(0.5) =0.6`