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PROBABILITY — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPROBABILITY1 Mark
MCQ
Choose the correct answer. If M and N are any two events, the probability that at least one of them occurs is:
  • A
    $\text{P(M)}+\text{P(N)}-2\text{P(M}\cap\text{N)}$
  • ✓
    $\text{P(M)}+\text{P(N)}-\text{P(M}\cap\text{N)}$
  • C
    $\text{P(M)}+\text{P(N)}+\text{P(M}\cap\text{N)}$
  • D
    $\text{P(M)}+\text{P(N)}+2\text{P(M}\cap\text{N)}$
✓

Answer

Correct option: B.
$\text{P(M)}+\text{P(N)}-\text{P(M}\cap\text{N)}$
If M and N are any two events.
$\text{P(M}\cup\text{N)}=\text{P(M)}+\text{P(N)}-\text{P(M}\cap\text{N)}$

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