5. If Mary plays in the second round of the tournament, then Kayla will too, if Joe does not

4. Mary will play in the second round of the tournament, unless kayla does

3. Joe will play in the second round of the tournament only if Kayla does

• If Bob cheats, he will pass the exam only if he does not get caught.

2. He is both a fool and a liar

Using the assignments given, select the appropriate translation in the language of propositional logic:

O: he is a fool

L: he is a liar

1. He is either a fool or a liar

3. He is neither a fool nor a liar

5. He is either a fool or a liar, but not both

4. If he is a liar, then he is not a fool

If and , what is the minimum possible probability for their disjunction, ?