What is the multiplication rule?
In this post, we use the multiplication law P(A \cap B) = P(A) P(B) for independent events A and B and recognise the symmetry of independence in simple probability situations. This is part of the Prelim Maths Advanced course under the topic Statistical Analysis and sub-part Probability and Venn diagrams, specifically focusing on multiplication rule. The multiplication rule states that “the probability of occurrence of given two events or in other words the probability of the intersection of two given events is equal to the product obtained by finding the product of the probability of occurrence of both events.” So: P(A \cap B) = P(A) P(B)
The following two videos give us an insight into what the product rule for probability is. The first video explains the multiplication rule clearly, whilst the second gives an easily understood example.
Part 1: Introduction