the names of the months are each written on a slip of paper. if a slip of paper is randomly drawn, which…

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
Answer
Answer:
B. ends with an r and has five or fewer letters
Explanation:
Step1: Define mutually - exclusive
Two events are mutually exclusive if they cannot occur at the same time.
Step2: Analyze option A
Months like July begin with J and contain u, so the events "begins with a J and contains a u" are not mutually exclusive.
Step3: Analyze option B
No month that ends with an r (September, October, November, December) has five or fewer letters. So these two events cannot happen simultaneously and are mutually exclusive.
Step4: Analyze option C
Months like January and May have 31 days and end with y, so the events "has thirty - one days and ends with a y" are not mutually exclusive.
Step5: Analyze option D
Months like September contain an e and have 30 days, so the events "contains an e and has thirty or fewer days" are not mutually exclusive.