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

  • [JEE MAIN 2023]
  • A

    only $(S1)$ is true

  • B

    only $(S2)$ is true

  • C

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

  • D

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

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