Question

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.

ticket purchases

	no more than $30	more than $30	total
purchased at the box office	0.3	0.14	0.18
total	1.0	1.0	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?

○ 0.14
○ 0.18
○ 0.30
○ 0.86

Explanation:

Step1: Understand Conditional Probability

We need the probability that the ticket was purchased at the box office given that it cost more than $30. From the table, in the "More than $30" column, the value for "Purchased at the Box Office" is 0.14. This is the conditional relative frequency for this event.

Answer:

0.14 (corresponding to the option with 0.14)