Question

Consider the following experiment: triplets are born and the order of birth of boys and girls is recorded.

Let the event A be: less than 2 children among triplets are boys and the event B be: more than 2 children
among triplets are boys. Is the event B the compliment of the event A?

Answer 1

No, it is not the compliment.

If you have two complimentary events, they account for all possible outcomes of a situation. With these two events, we don't account for having exactly 2 children that are boys.

Answer 2

No, event B is not complement of event A.

Explanation:

Event B is not a compliment of Event A because in complement we consider all those outcomes of the event which we don't want.If those outcomes match with the outcomes of the other event then we consider it as a complement of other event.Here in this case the outcomes which we don't want are not the complement of the outcomes of the other event.