Let be the sample space and A be an event. Given below are two st… - Vidyadip

MCQ

Let $\Omega$ be the sample space and $A \subseteq \Omega$ be an event. Given below are two statements :

$(S1)$ : If $P ( A )=0$, then $A =\phi$

$( S 2)$ : If $P ( A )=$, then $A =\Omega$

Then

A
only $(S1)$ is true
B
only $(S2)$ is true
C
both $(S1)$ and $(S2)$ are true
✓
both $(S1)$ and $(S2)$ are false

✓

Answer

Correct option: D.

both $(S1)$ and $(S2)$ are false

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

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