Attend live General Mathematics sessions on Nagwa Classes to learn more about this topic from an expert teacher!

Given that π΄ and π΅ are two events in the sample space of a random experiment, where π΄ β π΅, determine π΄ β© π΅.

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΅.

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy