Answer:
P(A) = 2/6
P(A’) = 4/6
Explanation:
In probability theory, the complement of any event A is the event [not A], i.e. the event that A does not occur. The event A and its complement [not A] are mutually exclusive and exhaustive. Generally, there is only one event B such that A and B are both mutually exclusive and exhaustive; that event is the complement of A. The complement of an event A is usually denoted as A′, Aᶜ, ¬A or A. Given an event, the event and its complementary event define a Bernoulli trial: did the event occur or not?
Our complement, A’, would then be “rolls a 1, 2, 3, or 4.” We can illustrate this as follows: The event “rolling a 5 or 6” and its complement “rolling a 1, 2, 3, or 4.”