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

2. If Mary and Joe play in the second round of the tournament, then Kayla will not

Using the assignments below, select the correct translations of the following sentences into propositional logic:

M: Mary will play in the second round of the tournament

J: Joe will play in the second round of the tournament

K: Kayla will play in the second round of the tournament

1. If Mary plays in the second round of the tournament, then Joe will

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

2. He is both a fool and a liar

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

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

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