Random Variables and Experiments

calendar_today January 21, 2026 article 73 words access_time 1 min replay Modified January 21, 2026

Table of Contents

Theorem 01.1 (Probability of Events).

The probability of event $B = \{s_1, s_2, ..., s_m\}$ is the sum of the probabilities of the outcomes contained in the event:

$$P[B] = \sum_{i=1}^{m} P[\{s_{i}\}]$$

Theorem 01.2 (Equally Likely Outcomes).

For an experiment with sample space $S = \{s_1, ..., s_n\}$ in which each outcome $s_i$ is equally likely, $P[\{s_i\}] = \frac{1}{n}, 1 \le i \le n$

References

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