The conditional relative frequency table was generated using data that compared the cost of one ticket for a performance and the
method by which the ticket was purchased. A 4-column table with 3 rows titled ticket purchases. The first column has no label with entries purchased online, purchased at the box office, total. The second column is labeled no more than $30 with entries 0.7, 0.3, 1.0. The third column is labeled more than $30 with entries 0.86, 0.14, 1.0. The fourth column is labeled total with entries 0.82, 0.18, 1.0.
Given that Lorenzo paid more than $30 for a ticket, what is the probability that he purchased the ticket at the box office?
Using it's concept, the probability that he purchased the ticket at the box office is: 0.14.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
For this problem, we have that of all the people that paid more than $30 for the ticket, the relative frequency of those who purchased at the box office is of 0.14, from the table, at the column more than $30 and row purchased at the box office, hence the probability that he purchased the ticket at the box office is: 0.14.
