MHT CET · Maths · Probability
Five letters are placed at random in five addressed envelopes. The probability that all the letters are not dispatched in the respective right envelopes is
- A \(\frac{1}{120}\)
- B \(\frac{1}{5}\)
- C \(\frac{119}{120}\)
- D \(\frac{4}{5}\)
Answer & Solution
Correct Answer
(C) \(\frac{119}{120}\)
Step-by-step Solution
Detailed explanation
The number of ways in which all the litters go to the correct envelope is 1
Probability that all letter go to correct envelope \(=\frac{1}{5 !}\)
Probability that all letter do not go to correct envelope \(=1-\frac{1}{5 !}\)
\(=\frac{119}{120}\)
Probability that all letter go to correct envelope \(=\frac{1}{5 !}\)
Probability that all letter do not go to correct envelope \(=1-\frac{1}{5 !}\)
\(=\frac{119}{120}\)
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