Question

$A$ is known to speak truth $3$ times out of $5$ times. He throws a dice and reports that it is a one. Find the probability that it is actually one.

• A. $\frac{1}{10}$
• B. $\frac{3}{10}$
• C. $\frac{7}{10}$
• D. $\frac{9}{10}$

Answer 1

The correct option is A $\frac{1}{10}$

Probability of $A$ speaking truth $\frac{3}{5}$

Probability of Dice showing $1=$ $\frac{1}{6}$

Required probabilty is $\frac{1}{6}\times \frac{3}{5}=\frac{1}{10}$