JEE Mains · Maths · STD 11 - 14. probability
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
Answer & Solution
Correct Answer
(D) both \((S1)\) and \((S2)\) are false
Step-by-step Solution
Detailed explanation
\(\Omega=\) 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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