The names of the months are each written on a slip of paper. If a slip of paper is randomly drawn, which scenario depicts mutually exclusive events? begins with a \( J \) and contains a \( u \) ends with an \( r \) and has five or fewer letters has thirty-one days and ends with a \( y \) contains an e and has thirty or fewer days

To determine which scenario depicts mutually exclusive events, we need to analyze each option. Mutually exclusive events are those that cannot occur at the same time. 1. **Begins with a \( J \) and contains a \( u \)**: - The months that begin with \( J \) are January, June, and July. - Among these, only June contains a \( u \). - This scenario is not mutually exclusive since it can occur with just one month (June). 2. **Ends with an \( r \) and has five or fewer letters**: - The months that end with \( r \) are either September or October, but both have more than five letters. - Therefore, this scenario does not apply to any month, making it irrelevant for mutual exclusivity. 3. **Has thirty-one days and ends with a \( y \)**: - The months with thirty-one days are January, March, May, July, August, October, and December. - Among these, only January and May end with a \( y \). - This scenario is not mutually exclusive since it can occur with two months (January and May). 4. **Contains an \( e \) and has thirty or fewer days**: - The months with thirty or fewer days are February, April, June, September, and November. - Among these, February, April, and September contain an \( e \). - This scenario is not mutually exclusive since it can occur with three months (February, April, and September). After analyzing all scenarios, none of them depict mutually exclusive events since each scenario can occur with at least one month. Thus, the answer is that **none of the scenarios depict mutually exclusive events**.