Complimentary Events
Previously we have discussed about subtracting integers worksheet and In today's session we are going to discuss about Complimentary Events which comes under state secondary board andhra pradesh, In the simple definition we can define the probability as something will happen. It means to say that before performing any task we predict that what will happen. This process is known as probability. In a more standard definition we can say that probability of an event is the process of finding the number of favorable and unfavorable cases in the event. Suppose we toss a coin at that time we can say that the output either is a head or tail but not both. If we toss a coin hundred then before tossing a coin we can easily perform the probability for output.
Here we are going to discussing about the complementary events in probability theory. In probability theory complimentary events of an event x can be define as inverse of not x. it means to say that complimentary of an event x contains all the events that are not exists in probability of event x. according to the probability theory, compliment of event x and event x are exhaustive in nature. In the standard definition we can define the complimentary events as “The complement of an event p contains all the set of outcomes in the sample space that are not included in the outcomes of event p.
The complement of event p in probability theory can be represented by given format p’.
In the below we show the example that helps you to understand the concept of complementary events in probability.
Example: what is the probability of selecting a card that is not a king? There is standard deck of card available that contains the 52 cards into it.
Solution: as we know that there are 4 king exists into the deck of cards then probability can easily be calculated by finding the complement of the pack of card. Let’s show you below:
P’ (king’) = 1 – P (king)
= 1 – 4 / 52
= 48 / 52
= 12 / 13
So, we can see that by using complement of an event the probability for selecting a card that should not be a king is 12 / 13.
In the next session we will discuss about Empirical Probability Formula and You can visit our website for getting information about factoring calculator.