Question

In a single throw a three dice, find the probability of gettin the same number on all the three dice.

Answer 1

Three dice are rolled then.
$n\left(S\right)=6^3=216$

E be the event of getting same numbers on all the three dice
E= {(1, 1, 1),(2. 2,2), (3, 3, 3), (4, 4, 4), (5.5, 5(6, 6, 6)}

$\therefore n\left(E\right)=6$

$\therefore P\left(E\right)=\frac{6}{216}=\frac{1}{36}$

$P\left(E\right)=\frac{1}{36}$