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Probability — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsProbability2 Marks
Question
State true or false:
  1. $A$ and $B$ are mutually exclusive.
  2. $A$ and $B$ are mutually exclusive and exhaustive events.
  3. $A$ and $C$ are mutually exclusive events.
  4. $C$ and $D$ are mutually exclusive and exhaustive events.
  5. $C, D$ and $E$ are mutually exclusive and exhaustive events.
  6. $A'$ and $B'$ are mutually exclusive events.
  7. $A, B, F$ are mutually exclusive and exhaustive events.
✓

Answer

  1. True, because $A ∩ B = \Phi$
  2. True, because $A ∩ B = \Phi$ and $A ∪ B = S$
  3. False, because $A ∩ C \neq \Phi$
  4. False, because $C ∩ D = \Phi$ but $C ∪ D \neq S$
  5. True, because $C ∩ D ∩ E = \Phi$ and $C ∪ D ∪ E = S$
  6. True, because $A' ∩ B' = \Phi$
  7. False, because $A ∩ B ∩ F \neq \Phi$ and $A ∪ B ∪ F = S$

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