A small choir has a tenor singer,
three soprano singers, a baritone singer, and a mezzo-soprano singer. If one of their names was randomly
chosen, determine the probability that it was the name of the tenor singer or the
The choir has one tenor, three
sopranos, one baritone, and one mezzo-soprano. If we let them be mutually
exclusive, that means the tenor would not also be the baritone. We would say there is six total
people. We want to know the probability of
tenor or soprano. And because they’re mutually
exclusive, we can just add these values together, the probability of a tenor and the
probability of a soprano.
Since there’s only one tenor, the
probability of randomly selecting that person is one out of six. And since there are three sopranos,
the probability of randomly selecting their name would be three out of six. Together, that’s a probability of
four-sixths, which can be reduced by dividing the numerator and denominator by
two. And that means the probability of
randomly selecting a tenor or a soprano is two-thirds.