Probability
Aptitude

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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.

$\dfrac{1}{76}$

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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:

\(=\dfrac{1}{5}\times \dfrac{1}{4}\times \dfrac{1}{3}\times \dfrac{1}{2}\times 1\)

\(=\dfrac{1}{120}\)


(1) Comment(s)


Shubham
 ()

say we have total number of probability as 5*4*3*2*1=120

and number of favourable outcomes is =1

so p=1/120