Determine the probability of an event

The Probability Theory Involving Equally Likely Outcomes

13.2

The Probability Theory Involving Equally Likely Outcomes

Sample space for an experiment:

	Definition

	Sample space is a set of all possible outcomes of an experiment. It is represented with the letter \(S\).

A tree diagram can be used to show the flow of the process.
It is used to organise and calculate the probability of an event happening.

Example

Event of an experiment:

	Definition

	Event is a set of possible outcomes that fulfill certain conditions for a sample space and is a subset for the sample space.

Probability of an event:

The number of possible outcomes is represented by \(n(S)\) .
The number of events is represented by \(n(A)\).
The probability of an event \(A\) is \(P(A)\).

Then, the probability of an event \(A\) is represented by

\(P(A) = \dfrac{n(A)}{n(S)}.\)

The Probability Theory Involving Equally Likely Outcomes

13.2

The Probability Theory Involving Equally Likely Outcomes

Sample space for an experiment:

	Definition

	Sample space is a set of all possible outcomes of an experiment. It is represented with the letter \(S\).

A tree diagram can be used to show the flow of the process.
It is used to organise and calculate the probability of an event happening.

Example

Event of an experiment:

	Definition

	Event is a set of possible outcomes that fulfill certain conditions for a sample space and is a subset for the sample space.

Probability of an event:

The number of possible outcomes is represented by \(n(S)\) .
The number of events is represented by \(n(A)\).
The probability of an event \(A\) is \(P(A)\).

Then, the probability of an event \(A\) is represented by

\(P(A) = \dfrac{n(A)}{n(S)}.\)