Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

Three letters are written to three different persons and addresses on the three envelopes are also written. Without looking at the addresses, the letters are kept in these envelopes the probability that all the letters are not placed into their right envelopes is:

Options:

1/2

1/3

1/6

5/6

Correct Answer:

5/6

Explanation:

All are not in right envelopes = 1 - P (all in right envelopes) 

$=1-\frac{1}{3!}=\frac{5}{6}$