### Video Transcript

Suppose π΄ and π΅ are two mutually
exclusive events. Given that the probability of π΄
minus π΅ is 0.52, find the probability of π΄.

We recall, first of all, that the
event π΄ minus π΅ contains all the elements in the sample space that belong in set
π΄ but donβt belong in set π΅. Itβs equivalent to the intersection
of π΄ and π΅ complement. We also recall a general rule: the
probability of π΄ minus π΅ is equal to the probability of π΄ minus the probability
of the intersection of π΄ and π΅. So we have 0.52 is equal to the
probability of π΄ minus the probability of π΄ intersect π΅.

But weβre given another key piece
of information in the question which we havenβt used yet. These two events π΄ and π΅ are
mutually exclusive. We know that for mutually exclusive
events, the probability of their intersection is zero because they cannot occur at
the same time. So, the probability of π΄ is the
same as the probability of π΄ minus π΅. Itβs 0.52.