Question

Three letters are to be sent to different persons and addresses on the three envelopes are also written. Without looking at the addresses, the probability that the letters go into the right envelope is equal to

• A. $\frac{1}{27}$
• B. $\frac{1}{9}$
• C. $\frac{4}{27}$
• D. $\frac{1}{6}$

Answer 1

The correct option is D

$\frac{1}{6}$

Explanation for the correct answer.

Given: Three letters and three envelopes

Total ways of putting letters in the envelopes are $3!=6$

Probability $=\frac{Numberoffavourableevents}{Totalpossibleevents}$

Probability of putting all the letters in the right envelope $=\frac{1}{6}$

Hence option D is the correct answer.