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?

0.14
0.18
0.30
0.86

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true