Question

Let $\Omega$ be the sample space and $A \subseteq \Omega$ be an event .
Given below are two statements :
(S1): If $P ( A )=0$, then $A =\emptyset$
(S2): If $P(A)=1$, then $A=\Omega$
Then

• A. both (S1) and (S2) are true
• B. only ( $S 1)$ is true
• C. only (S2) is true
• D. both (S1) and (S2) are false

Answer 1

Answer: (A)

both (S1) and (S2) are true

Answer 2

The correct answer is (A) : both (S1) and (S2) are true
Ω= sample space
A= be an event
If P(A) = 0 ⇒ A = ϕ
If P(A) = 1 ⇒ A = Ω
Then both statement are true