Question

A dice is thrown once. Find the probability of getting
(i)a number greater than 4 (ii)a number $\le 2$ (iii)a multiple of 3 (iv)a multiple of 2 or 3 (v) a multiple of 2 and 3 (vi) not getting 1 or 6.

Answer 1

Consider the problem

$s=\left\{1,2,3,4,5,6\right\}$

$\left(i\right)$ Favorable outcomes $=5,6$

probability $=\frac{2}{6}=\frac{1}{3}$

$\left(ii\right)$ Favorable outcomes $=1,2$

probability $=\frac{2}{6}=\frac{1}{3}$

$\left(iii\right)$ Favorable outcomes $=3,6$

probability $=\frac{2}{6}=\frac{1}{3}$

$\left(iv\right)$ Favorable outcomes $=2,3,4,6$

probability $=\frac{4}{6}=\frac{2}{3}$

$\left(v\right)$ Favorable outcomes $=6$

probability $=\frac{1}{6}$

$\left(vi\right)$ Favorable outcomes $=2,3,4,5$

probability $=\frac{4}{6}=\frac{2}{3}$