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?\nbegins with a j and contains a u\nends with an r and has five or fewer letters\nhas thirty - one days and ends with a y\ncontains an e and has thirty or fewer days

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?\nbegins with a j and contains a u\nends with an r and has five or fewer letters\nhas thirty - one days and ends with a y\ncontains an e and has thirty or fewer days

Answer

Explanation:

Step1: Recall definition of mutually - exclusive events

Two events are mutually exclusive if they cannot occur at the same time.

Step2: Analyze each option

  • Option 1: begins with a J and contains a u
    • Months that begin with J are January, June, July. January contains 'u', so these events are not mutually exclusive.
  • Option 2: ends with an r and has five or fewer letters
    • Months that end with 'r' are September, October, November, December. None of them have five or fewer letters, so these events are mutually exclusive.
  • Option 3: has thirty - one days and ends with a y
    • Months with 31 days are January, March, May, July, August, October, December. July ends with 'y', so these events are not mutually exclusive.
  • Option 4: contains an e and has thirty or fewer days
    • Months that contain 'e' are September, November, December, February, etc. September and November have 30 days, so these events are not mutually exclusive.

Answer:

ends with an r and has five or fewer letters