# Moderate Probability Solved QuestionAptitude Discussion

 Q. The letters $B,G,I,N$ and $R$ are rearranged to form the word 'Bring'. Find its probability:
 ✔ A. $\dfrac{1}{120}$ ✖ B. $\dfrac{1}{5^4}$ ✖ C. $\dfrac{1}{24}$ ✖ D. $\dfrac{1}{76}$

Solution:
Option(A) is correct

There are total 5 letters. The probability that $B$ gets the first position is $\dfrac{1}{5}$

The probability that G is in the second position is $\dfrac{1}{4}$

Likewise, probability for $I,N$ and $G$

Hence required probability:

$=\dfrac{1}{5}\times \dfrac{1}{4}\times \dfrac{1}{3}\times \dfrac{1}{2}\times 1$

$=\dfrac{1}{120}$