Question

When a die is thrown, find the probability of the event of getting
a) A prime number.
b) A number greater than $6$.

Answer 1

a) A prime number:

Prime numbers on a die are $2,3$ and $5$

Number of favourable outcomes$=3$

total number of outcomes$=6$

$\therefore$ Probability of getting a prime number $=\frac{3}{6}$

$=\frac{1}{2}$

Hence, the probability of getting a prime number is $\frac{1}{2}$.

b) A number greater than $6$:

Numbers on a die greater than $6$ $=None$

Number of favourable outcomes$=0$

total number of outcomes$=6$

$\therefore$ Probability of getting a number greater than $6$ $=\frac{0}{6}$

$=0$

Hence, probability of getting a number greater than $6$ is $0$.