Question

Find the probabilities of the events:

When a die is thrown, list the outcomes of an event of getting
(i) (a) a prime number (b) not a prime number.
(ii) (a) a number greater than 5 (b) a number not greater than $5$

Answer 1

(i) (a)

Out of $6$ possible outcomes, a prime number can be obtained in $3$ cases.
Probability of prime number $=\frac{3}{6}=\frac{1}{2}$
(i) (b)

Out of $6$ possible outcomes, a prime number not obtained in $3$ cases

Probability $=\frac{3}{6}=\frac{1}{2}$

(ii) (a)

Out of $6$ possible outcomes, greater than $5$ can be obtained $1$ case
Probability $=\frac{1}{6}$
(ii) (b)

Out of $6$ possible outcomes, a number not greater than $5$ can be obtained in: $5$ cases
Probability $=\frac{5}{6}$