Question

8. The probability of the complement of an event is ____ less than the probability of the event itself.





A.
sometimes




B.
always




C.
never

Answer 1

please someone help

Answer 2

let's say event A has a 20% chance of happening

in other words, P(A) = 0.2

the complement of event A is the opposite of it (ie the event of A not happening)

So the probability of this is 1 - P(A) = 1 - 0.2 = 0.8


So we can see that the complement has a better chance of happening (higher probability)

Answer 3

we can easily swap the probabilities for P(A) and P(not A)

so P(A) = 0.8 for instance and P(not A) = 0.2

Answer 4

there's no rule that says that the complement event has to have a larger or smaller probability