# An unbiased die is rolled four times. Out of four face values obtained, the probability that the minimum face is not less than 2 and the maximum face is not greater than 5 is

$\begin {array} {1 1} (1)\;\large\frac{16}{81} & \quad (2)\;\large\frac{8}{81} \\ (3)\;\large\frac{31}{81} & \quad (4)\;none\: of \: these \end {array}$

Probability of getting a number from 2 to 5 in a single throw is = $\large\frac{2}{3}$
Probability of the required event = $\bigg( \large\frac{2}{3} \bigg)^4$
$= \large\frac{16}{81}$
Ans : (1)