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Probability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsProbability1 Mark
MCQ
A bag contains $5$ brown and $4$ white socks. A man pulls out two socks. The probability that these are of the sane colour is.
  • A
    $\frac{5}{108}$
  • B
    $\frac{18}{108}$
  • C
    $\frac{30}{108}$
  • ✓
    $\frac{48}{108}$
✓

Answer

Correct option: D.
$\frac{48}{108}$
Total number of balls $= 5$ brown $+\ 4$ white $= 9$
Required probability $=\frac{5}{9}\times\frac{4}{8}+\frac{4}{9}\times\frac{3}{8}=\frac{4}{9}$
$\Rightarrow\ \frac{4\times12}{9\times12}=\frac{48}{108}$

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