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 1

The Correct Option is D

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)