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Model Paper 3 — Applied Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceApplied MathsModel Paper 31 Mark
MCQ
A bag contains 5 brown and 4 black socks. A man pulls out two socks. The probability that these are of the same colour is:
  • A
    $\frac{30}{108}$
  • B
    $\frac{18}{108}$
  • C
    $\frac{5}{108}$
  • ✓
    $\frac{48}{108}$
✓

Answer

Correct option: D.
$\frac{48}{108}$
(d) $\frac{48}{108}$
Explanation: P(same coloured socks) $=$ P(both brown) + P(both white)
$=\frac{5}{9} \times \frac{4}{8}+\frac{4}{9} \times \frac{3}{8}$
$=\frac{20}{72}+\frac{12}{72}$
$=\frac{32}{72}$
$=\frac{4}{9}=\frac{48}{108}$

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