# Use the given probability of each event to find the probability of the complement. P(red) = 25% p(not red) = p(not green) = 2/3 p(

Use the given probability of each event to find the probability of the complement. P(red) = 25% p(not red) = p(not green) = 2/3 p(green) =.

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1. As given probability of not green is 2/3 then the probability of drawing a green event is 1/3.
Complementary Event: –
Complementary events in probability occur when only two outcomes are possible. For example, passing a test or not passing a test. An event can be described as the set of outcomes of an experiment. Thus, events will always be a subset of the sample space.
The sum of probabilities of complementary events must be equal to 1. Complementary events can take place only when there are exactly two outcomes.
Given that,
Let, A = event of drawing a red card = 25%
B = event of not drawing a red card = 1
Complementary Events Example
A and B are called complementary events. This may be denoted as:
P(A’) = P(B) (recall in sets that A ’ is the complement of A)
P(A) = P(B’)
We can generally state that: P(A) + P(A ’ ) = 1
Now,
Let, P = event of drawing a green card =  1/3
Q = event of not drawing a green card = 2/3
Therefore, using the complementary event formula, we have,
P = 1 – Q
⇒ P = 1 – 2/3
⇒ P = 1/3