Which of the following apply to the Law of Large Numbers 1 0

Which of the following apply to the Law of Large Numbers?

(1) 0<P(E)<1

(2) P(E)=1

(3) If the events are mutually exclusive and in union form the sample space, then the sum of the probabilities is one.

(4) Randomization

(5) If the events are mutually exclusive, then the sum of the probabilities is one.

(6) If the events in union form the sample space, then the sum of the probabilities is one.

(7) Control

(8) Replication

(9) P(S) = 1

(10) 0<P(S)<1

Solution

Assuming that E denotes the entire space, the following options are correct

(2) P(E) = 1

(5)If the events are mutually exclusive, then the sum of the probabilities is one