S1.3.3 - Independence of two events

Independence of two events.; P(B | A) = P(B), P(A | B) = P(A), P(A ∩ B) = P(A) P(B).

Use independence of two events to connect the rule to the data and decision in the question.

This matters because independence of two events determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply independence of two events to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Independence of two events is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.