Question

In a single throw with two dice, find the chances of throwing $\left(1\right)$ five, $\left(2\right)$ six.

Answer 1

$⟹$ If we roll and dice, Total outcomes $=6^n$
$\left(I\right)$Total Outcomes $=6^2=36$......sample space

Expected Outcomes $:-(1,4),(2,3),(3,2),(4,1)$
(Sum $=5$)
Probability $=\frac{4}{36}⟹\frac{1}{9}$
$\left(II\right)$ Expected Outcomes $:-(1,5),(2,4),(3,3),(4,2),(5,1)$
(Sum $=6$)
Probabillity $=\frac{ExpectedOutcomes}{TotalOutcomes}$
$⟹\frac{5}{36}$