contestada

If E and F are disjoint​ events, then P(E or F) equals __________.
a. P(E) + P(F) - P(E and F).
b. P(E) + P(F).
c. P(F).
d. P(E).
e. P(E and F).

Respuesta :

b)  P(E or F)  = P(E) + P(F)

Step-by-step explanation:

Here, given:

E and F are disjoint events.

Any two events are said to be disjoint if  they cannot occur simultaneously.

For Example:  Getting a  head and a tail if a fair coin is flipped.

Now, we need to find P( E or F)

Now, as E and F are mutually disjoint.

⇒ P (E ∩ F )  = Ф

Also, we know :  P(E or F) =  P(E U F) =  P(E) + P(F)  - P (E ∩ F )

⇒ P(E or F)  = P(E) + P(F)

Otras preguntas