4. The names of the months of the year are cut
from a calendar and put into a bag. A month
with more than 5 letters in its name is drawn.
What is the probability of the complement of
the event? Describe the complement.
(Example 3)



Answer :

Final answer:

The complement event in probability theory involves all outcomes not part of the specified event. To find the probability of the complement, subtract the event's probability from 1. The sample space represents all possible outcomes when an event occurs.


Explanation:

The complement of an event refers to all outcomes that are not part of the event. In this case, the event is drawing a month with more than 5 letters in its name. Therefore, the complement event would be drawing a month with 5 or fewer letters.

To calculate the probability of the complement, you would subtract the probability of the event from 1. If the probability of drawing a month with more than 5 letters is, for example, 3/12, then the complement probability would be 1 - 3/12 = 9/12 = 3/4.

Sample space: All possible outcomes when drawing a month from the bag.


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