Question

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

Explanation:

Step1: Recall definition of mutually - exclusive events

Two events are mutually exclusive if they cannot occur at the same time, i.e., their intersection is the empty set.

Step2: Analyze "begins with a J and contains a u"

The months starting with J are January, June, July. January contains 'u', so these two events are not mutually exclusive.

Step3: Analyze "ends with an r and has five or fewer letters"

The months ending with 'r' are September, October, November, December. None of them have five or fewer letters, so these two events cannot happen simultaneously.

Step4: Analyze "has thirty - one days and ends with a y"

Months with 31 days are January, March, May, July, August, October, December. May and July end with 'y', so these two events are not mutually exclusive.

Step5: Analyze "contains an e and has thirty or fewer days"

Months containing 'e' are September, October, November, December, February, March, April, May, June, July. April has 30 days, so these two events are not mutually exclusive.

Answer:

ends with an r and has five or fewer letters