Answer:
a. (E U F U G)'
b. E n F (G') or EF(G')
c. E n (F U G)' or E(F U G)'
Step-by-step explanation:
The three events are E, F, G
For this question, we'll make use of set notations
U -> Union
Example is A U B which means an occurrence that happens in either A or B
n -> Intersection
Example is A n B which means an occurrence that happens in A and B.
It can also be written as AB
' -> Complement
Example is A' which means an event where A doesn't occur.
So, we'll move to the questions
a. None of them occur.
This means that;
E doesn't occur
F doesn't occur
G doesn't occur.
So, the notation is (E U F U G)'
b. Both E and F occur but G doesn't occur
This mean that
E and F occur
G didn't occur.
The notation is E n F (G') or EF(G')
c. Only E occur
This means that E occur
And Either F or G didn't occur
The notation is, E n (F U G)' or E(F U G)'
