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