Answer:
Explanation:
There are 12 months in a year, and 7 of them have more than 5 letters in their names (July, August, September, October, November, December, and January).
The complement of the event is drawing a month with 5 or fewer letters in its name. There are 5 months with 5 letters in their names (May, March, April, June, and August), and 2 months with 4 letters in their names (July and June). Therefore, there are 7 months with 5 or fewer letters in their names.
The probability of drawing a month with 5 or fewer letters in its name is 7/12. The probability of the complement of the event (drawing a month with more than 5 letters in its name) is 1 - 7/12 = 5/12.
Therefore, the probability of the complement of the event is 5/12.