Question

A die has six faces numbered from $1$ to $6$. It is rolled and number on the top face is noted. When this is treated as random trial.
(a) What are the possible outcomes?
(b) Are they equally likely? Why?
(c) Find the probability of a composite number turning up on the top face.

Answer 1

(a) Possible outcomes $=\{1,2,3,4,5,6\}$

(b) All of them having probability $=\frac{1}{6}$

So, they have equal chances

(c) Composite numbers between 1 to 6 $=\{4,6\}$

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