Question

A dice is thrown once. Find the probability of getting a number greater than $4$.

• A. $\frac{1}{5}$
• B. $\frac{1}{4}$
• C. $\frac{1}{3}$
• D. $\frac{1}{2}$

Answer 1

The correct option is C $\frac{1}{3}$

We know that sample space $S$ on throwing a dice is $S=(1,2,4,5,6]$

$\therefore$ Total number of cases (possible outcomes) $n\left(S\right)=6$

Event $E:$ Getting a number greater than $4,$

$E=\{5,6\}$Number of favourable Gases $=n\left(E\right)=2$

$\therefore P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}=\frac{2}{6}=\frac{1}{3}$