Question

A dice is thrown once. Find the probability of getting a composite number.

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

Answer 1

The correct option is D $\frac{1}{2}$

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(S) = 6
Event E : getting a prime number
E = {2, 3, 5}
Number of favourable cases = n(E) = 3
$\therefore P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}=\frac{3}{6}=\frac{1}{2}$