Question

The probability of the complement of an event is ___ less than the probably of the event itself.

a. never
b. not enough information to answer this question
c. always
d. sometimes

Answer 1

The probability of the complement of an event is d) sometimes less than the probably of the event itself.

Your complement c=1-p
If you think of a dice you could have the probability to "get the number 1" =1/6, so its complement would be 5/6 which is clearly more
if your event is instead "get a number from 1 to 6" then your probability would be 1=100% and the complement 0 which is less.