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Probability — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsProbability1 Mark
MCQ
Events $A$ and $B$ are said to be mutually exclusive if:
  • ✓
    $\ce{P (A U B) = P A. + P B.}$
  • B
    $\ce{P (A ∩ B) = P A. \times P B.}$
  • C
    $\ce{P(A U B)} = 0$
  • D
    None of these
✓

Answer

Correct option: A.
$\ce{P (A U B) = P A. + P B.}$
If $A$ and $B$ are mutually exclusive events,
Then $\ce{P(A ∩ B)} = 0$
Now, by the addition theorem,
$\ce{P(A U B) = PA. + PB. – P(A ∩ B)}$
$\Rightarrow \ce{P(A U B) = PA. + PB}$

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