Question

A monkey seated before a type writer with $26$ keys on the key board denoting the English alphabet. Then the probability for that monkey to type the word $\text{SIR}$ is

• A. $\frac{{}^{26}{C}_3}{(26{)}^3}$
• B. $\frac{1}{{}^{26}{C}_3}$
• C. ${\left(\frac{1}{26}\right)}^3$
• D. $\frac{3}{26}$

Answer 1

The correct option is C ${\left(\frac{1}{26}\right)}^3$

Required Probability:
$P\left(E\right)=\frac{1}{26}\times \frac{1}{26}\times \frac{1}{26}={\left(\frac{1}{26}\right)}^3$