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

Question

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, only (S1) is true, only (S2) is true, both (S1) and (S2) are true, both (S1) and (S2) are false

MARKS App · Accepted Answer

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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