Question

Find the probability of the indicated event if ​P(E)equals0.25 and ​P(F)equals0.40. Find​ P(E or​ F) if​ P(E and ​F)equals0.05.

Answer 1

`P(E) =0.25, P(F) = 0.40, P(E \cap F) =0.05`

`P(E \cup F)= P(E) +P(F) -P(E \cap F)`

And replacing we got:

`P(E \cup F)=0.25 +0.40 -0.05 = 0.6`

Explanation:

For this case we have the following probabilities given:

`P(E) =0.25, P(F) = 0.40, P(E \cap F) =0.05`

And we want to find this probability:

`P(E \cup F)`

And we can use the total probability rule given by:

`P(E \cup F)= P(E) +P(F) -P(E \cap F)`

And replacing we got:

`P(E \cup F)=0.25 +0.40 -0.05 = 0.6`