### Video Transcript

Suppose π΄ and π΅ are two mutually
exclusive events. Given that the probability of π΄ or
π΅ equals 0.93 and the probability of π΄ not π΅ is equal to 0.39, find the probability
of π΅.

The first thing we know is the
probability of π΄ or π΅ equals 0.93. But we also know that these are
mutually exclusive events, which means the probability of π΄ or π΅ equals the
probability of π΄ plus the probability of π΅. It also means the probability of π΄
and π΅ both happening at the same time is zero. We can represent these two mutually
exclusive events with two circles that do not overlap.

Weβre also given that the
probability of π΄ minus π΅ equals 0.39. This would be the probability of π΄
happening and not π΅. And that really tells us that the
probability of π΄ happening is 0.39. We know the probability of π΄ plus
the probability of π΅ equals 0.93. And then we plug in 0.39 for the
probability of π΄. To solve for π΅, we subtract 0.39
from both sides. And we get the probability of π΅ is
0.54.