Let Ω be sample space and A subseteq Ω be an event. Given below are two statements : (S1) : If P (

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14.Probability

hard

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

D

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

(JEE MAIN-2023)

Solution

$\Omega=$ 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

Standard 11

Mathematics

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