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Probability — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsProbability2 Marks
MCQ
Three letters are written to different persons, along with their addresses on three envelopes. Without looking at the letters, the probability that letters go into right envelopes is
  • A
    $\frac{1}{24}$
  • ✓
    $\frac{1}{6}$
  • C
    $\frac{23}{24}$
  • D
    $\frac{9}{2}$
✓

Answer

Correct option: B.
$\frac{1}{6}$
(B)
we get
Probability that all letters are in right envelopes $=\frac{1}{n!}$
$\therefore $ Required probability $=\frac{1}{3!}=\frac{1}{6}$

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