Two fair number cubes are rolled. State whether the events are mutually exclusive. Explain your reasoning. The numbers are the same; the sum is even.
Are the events mutually​ exclusive?
A.​No, because if one event​ occurs, the other cannot possibly occur.
B.​Yes, because both events can occur at the same time.
C. No, because both events can occur at the same time
D. Yes, because if one event occurs, the other cannot possibly occur

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