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Probability — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSProbability1 Mark
MCQ

 A bag contains 5 brown and 4 white socks. Ram pulls out two socks. What is the probability that both the socks are of the same colour?

  • A
    9/20
  • B
    2/9
  • C
    3/20
  • D
    4/9
✓

Answer

  1. 4/9

Solution:

Total number of socks = 5 + 4 = 9

Two socks are pulled.

Now, P(Both are same colour) = (5C2 + 4C2)/9C2

= {(5×4)/(2×1) + (4×3)/(2×1)}/{(9×8)/(2×1)}

= {(5×4) + (4×3)/}/{(9×8)

= (5 + 3)/(9×2)

= 8/18

= 4/9

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