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Sample Space

The sample space is the set all possible outcomes.

A fair coin

When flipping a coin alt-text alt-text the sample space is {Heads, Tails} or {H, T} abbreviated.
The capital letter is used for sample space.
n(U) means the number of elements in U.
In this example, n(U)= .

A fair 6-sided die

alt-text

U={ } and n(U)=

A deck of cards

alt-text

U={♦A,♦2,♦3,♦4,♦5,♦6,♦7,♦8,♦9,♦10,♦J,♦Q,♦K,
♣A,♣2,♣3,♣4,♣5,♣6,♣7,♣8,♣9,♣10,♣J,♣Q,♣K,
♥A,♥2,♥3,♥4,♥5,♥6,♥7,♥8,♥9,♥10,♥J,♥Q,♥K,
♠A,♠2,♠3,♠4,♠5,♠6,♠7,♠8,♠9,♠10,♠J,♠Q,♠K}
n(U)=

Other examples

List the sample space for:

The integers from 1 to 5 inclusive.

U={vowels}.

The different ways the letters A, B, and C can be arranged.

U={ }

U={ }

U={ABC,ACB, }