Question

A box contains $6$ distinct dolls. From the box $3$ dolls are randomly selected one by one with replacement . What is the probability of selecting $3$ distinct dolls

• A. $\frac{5}{54}$
• B. $\frac{12}{25}$
• C. $\frac{1}{20}$
• D. $\frac{5}{9}$

Answer 1

The correct option is A $\frac{5}{54}$

Required Probability $=\frac{1}{6}\times \frac{5}{6}\times \frac{4}{6}$

$=\frac{20}{216}=\frac{5}{4}$