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MathsEasyMCQ2023 · 24 Jan Shift 1

Q80.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 (1) only (S1) is true (2) only (S2) is true (3) both (S1) and (S2) are true (4) both (S1) and (S2) are false

What This Question Tests

This question tests fundamental definitions in probability theory, specifically the relationship between the probability of an event and whether the event is an empty set (impossible event) or the sample space (sure event).

Concepts Tested

Sample spaceEventProbability of an eventImpossible eventSure event

Formulas Used

P(A) = 0 for impossible event

P(A) = 1 for sure event

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📋 Question Details

Chapter
Probability
Topic
Basic definitions of probability
Year
2023
Shift
24 Jan Shift 1
Q Number
Q80
Type
MCQ
NCERT Ref
Class 12 Mathematics Ch 13: Probability

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