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JEE Main202324 Jan 2023Morning ShiftMathematicsProbabilityActual

Let Ω be the sample space and A ⊆ Ω be an event. Given below are two statements: (S1): If P ( A ) = 0 , then A = ϕ (S2): If P ( A ) = , then A = Ω Then

Options

  1. Aonly (S1) is true
  2. Bonly (S2) is true
  3. Cboth (S1) and (S2) are true
  4. Dboth (S1) and (S2) are false

Correct answer

C. both (S1) and (S2) are true

Step-by-step solution

Given: Ω = sample space A = be an event So, If P ( A ) = 0 ⇒ A = ϕ If P ( A ) = 1 ⇒ A = Ω Hence, both statements are true.

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