Probability Flashcards
What is meant by a set function, a sample space, an event. Define probability, basic properties, the addition rule, the conditional probability, Bayes theorem and Independence for two events.
What is a set?
A set is a collection of objects and each individual object is called an element of that set.
What is a sample space?
A sample space is the set of all possible outcomes from an experiment.
What is an event?
Is anything we wish to observ from our experiment.
When the event is said to be occurred?
If any one of its elements is the outcome observed.
Who is the null set?
Is the set with no elements
What is meant by complementary set?
An event B is said to be complementary to another A in a sample space S if B contains all the elements of S that are not in A.
What is meant by the union of two sets?
Is the set that consists of all the elements that belongs to A or B or both.
What is meant by the intersection of two sets?
Is the set that consists of all elements that belong to both A and B.
What means mutually exclusive?
If there are no elements common to both sets.
What is a probability?
A probability is a numerical way of describing how likely an event is to happen.
What is an experiment?
An experiment is defined as any sort of operation whose outcome cannot be predicted in advance with certainty.