Video Transcript
Given that π΄ and π΅ are two events in the sample space of a random experiment, where π΄ is a subset of π΅, determine π΄ intersection π΅.
Letβs begin by recalling what we mean by the set notation in this question. If π΄ is a subset of π΅, then every element of π΄ is also in π΅, but π΅ has more elements. The set of elements π΄ intersection π΅ means every element that is in both set π΄ and set π΅. We can represent the information given in this question in a Venn diagram. The circle representing the elements in set π΄ must be entirely contained within the circle representing the elements of set π΅. This means that the elements that are in set π΄ and set π΅ will be all the elements in set π΄. The correct answer is π΄. If π΄ is a subset of π΅, then π΄ intersection π΅ is equal to π΄. Likewise, had π΅ been a subset of π΄, then π΄ intersection π΅ would be equal to π΅.
