Question

The range of probability of any event of a random experiment is ______.

Answer 1

The range of probability of any event of a random experiment is [0, 1].

Explanation:

The number of favourable outcomes m for any event always satisfies \[0 \leq m \leq n\], where n is the total number of equally likely outcomes.

Dividing throughout by n gives: \[0 \leq \frac{m}{n} \leq 1\]

\[\Rightarrow 0 \leq P(E) \leq 1\]

Hence, the range expressed in closed interval form is [0, 1].