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Probability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsProbability1 Mark
MCQ
Choose the correct answer from the given four options. If $A$ and $B$ are two events and $\text{A}\neq\phi,\text{B}\neq\phi,$ then :
  • A
    $\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)=\text{P}(\text{A})\cdot\text{P}(\text{B})$
  • ✓
    $\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)=\frac{\text{P}(\text{A}\cap\text{B})}{\text{P}(\text{B})}$
  • C
    $\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)\cdot\text{P}\Big(\frac{\text{B}}{\text{A}}\Big)=1$
  • D
    $\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)=\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)$
✓

Answer

Correct option: B.
$\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)=\frac{\text{P}(\text{A}\cap\text{B})}{\text{P}(\text{B})}$
If $\text{A}\neq\phi,\text{B}\neq\phi,$ then $\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)=\frac{\text{P}(\text{A}\cap\text{B})}{\text{P}(\text{B})}$

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