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: (D)

$\Omega=$ sample space
$A =$ be an event
If $P(A)=0 \Rightarrow A=\phi$
If $P ( A )=1 \Rightarrow A =\Omega$
Then both statement are true