Question

In throwing of a fair die find the probability of the event a number $\le 4$ turns up.

• A. $\frac{2}{3}$
• B. $\frac{1}{3}$
• C. $\frac{1}{6}$
• D. $\frac{5}{6}$

Answer 1

The correct option is A $\frac{2}{3}$

Sample space $S=\{1,2,3,4,5,6\};$
event $A=\{1,2,3,4\}$
$\therefore$ $n\left(A\right)=4$ and $n\left(S\right)=6$
$\therefore$ $P\left(A\right)=\frac{n\left(A\right)}{n\left(S\right)}=\frac{4}{6}=\frac{2}{3}.$