Define a (i) Event (ii) experiment (iii) certain event
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1. Certain event
A certain event is an event that is sure to happen. E is a certain event if and only if P(E) = 1. Example. In flipping a coin once, a certain event would be getting a head or a tail.
2. Event
In probability theory, an event is a set of outcomes of an experiment (a subset of the sample space) to which a probability is assigned
3. Experiment
In probability theory, an experiment or trial
is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes, known as the sample space. An experiment is said to be random if it has more than one possible outcome, and deterministic if it has only one.
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A certain event is an event that is sure to happen. E is a certain event if and only if P(E) = 1. Example. In flipping a coin once, a certain event would be getting a head or a tail.
2. Event
In probability theory, an event is a set of outcomes of an experiment (a subset of the sample space) to which a probability is assigned
3. Experiment
In probability theory, an experiment or trial
is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes, known as the sample space. An experiment is said to be random if it has more than one possible outcome, and deterministic if it has only one.
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- In Probability, the set of outcomes of an experiment is called events. There are different types of events such as independent events, dependent events, mutually exclusive events, and so on.
- Gaining insight and intuition.
- Discovering new patterns and relationships.
- Discovering new patterns and relationships.Using graphical displays to suggest underlying mathematical principles.
- Testing and especially falsifying conjectures.
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