Sample Spaces and Probability (VCE SSCE Mathematical Methods): Flashcards

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Sample Spaces and Probability
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Sample space

Complete set of all possible outcomes of a random experiment

Greek letter for sample space

ε\varepsilon (epsilon)

Event in probability

A subset of the sample space

Notation for events

Capital letters: AA, BB, CC, etc.

Discrete sample space

Has separate, distinct outcomes

Continuous sample space

Has outcomes forming a continuous range

Complementary events

No common elements; together make up entire sample space

Pr(A)\text{Pr}(A') formula

Pr(A)=1Pr(A)\text{Pr}(A') = 1 - \text{Pr}(A)

Pr(A)\text{Pr}(A) for equally likely outcomes

Pr(A)=n(A)n(ε)\text{Pr}(A) = \frac{n(A)}{n(\varepsilon)}

Sum of all outcome probabilities

Must equal 1

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