If three letters can be posted to any one of the 5 different addresses, then the probability that the three letters are posted to exactly two addresses is

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
If three letters can be posted to any one of the 5 different addresses, then the probability that the three letters are posted to exactly two addresses is ______. [2024]

1 $\frac{6}{25}$

2 $\frac{4}{25}$

3 $\frac{18}{25}$

4 $\frac{12}{25}$

Ans.
(4)

We need to choose 2 addresses out of 5 which can be done in ${}^{5}C_{2}$ ways.

Now, 3 letters can be posted to exactly 2 addresses in $3 \times 2 = 6$ ways.

Required Probability = $\frac{{}^{5}{C_{2}} \times 6}{5^{3}} = \frac{60}{125} = \frac{12}{25}$

Want Us to Email you About Special Offers & Updates?