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Probability — MATHS STD 11 Science — Question

Gujarat 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 = Φ
  2. True, because A ∩ B = Φ and A ∪ B = S
  3. False, because A ∩ C ≠ Φ
  4. False, because C ∩ D = Φ but C ∪ D ≠ S
  5. True, because C ∩ D ∩ E = Φ and C ∪ D ∪ E = S
  6. True, because A' ∩ B' = Φ
  7. False, because A ∩ B ∩ F ≠ Φ and A ∪ B ∪ F = S

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