Namrata wants to visit four cities A, B, C and D on an offic... | Mathematics | SolveeIt | Solveeit

Today, August 19

Question

Namrata wants to visit four cities A, B, C and D on an official trip. The probability that she visits A just before B is

A

$\frac{1}{2}$

B

$\frac{1}{12}$

C

$\frac{1}{6}$

D

$\frac{1}{4}$

Answer

$\frac{1}{4}$

Explanation

Solution

Number of ways of visiting four cities $=4!=24$
Number of ways of visiting A just before B is
$\fbox{AB}$ $C$$D$ $=3!=6$
Required probability $=\frac{6}{24}=\frac{1}{4}$
The correct option is (D)