Sample Space
Definition

A sample space is the set of all possible outcomes of an experiment.

"S" is usually used to represent the sample space.

"n(S)" represents the number of outcomes in the sample space.


Example

Experiment: Flipping a coin.

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Instructions text as in global.js

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Let "H" represent the outcome of getting a head, and let "T" represent the outcome of getting a tail.


S: { H, T }

n(S) = 2


Example

Experiment: Flipping two different coins.

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Instructions text as in global.js

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Let "H" represent getting a head, and let "T" represent getting a tail.


S: { HH, HT, TH, TT }

n(S) = 4


Example

Experiment: Tossing a die.

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Instructions text as in global.js

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Let each face be represented by a numeral of the number of dots on the face.


S: { 1, 2, 3, 4, 5, 6 }

n(S) = 6


Example

Experiment: Tossing a pair of dice.

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Instructions text as in global.js

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If each face on the yellow die is represented by a yellow numeral of the number of dots on the face, and each face on the blue die is represented by a blue numeral of the number of dots on the face; the following represents the sample space (S):

Toss a die - All outcomes

n(S) = 36