Ch. 2 Equally likely outcomes Flashcards Preview

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Flashcards in Ch. 2 Equally likely outcomes Deck (5)
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1

Consider a scenario with m equally likely outcomes, {ω1 , ... , ωm} = Ω
In the equally likely outcomes model, P(A), A c Ω, is

P(A) := mA/m

Where mA is the number of outcomes in the event A

2

|A| =

The number of outcomes in the event A

3

Suppose we must make k choices in succession where there are:
m1 possibilities for the first choice
m2 possibilities for the second choice
....
mk possibilities for the kth choice
Total no of distinct possible selections is:

m1 x m2 x m3 x .... x mk

4

Suppose we have m distinct objects and we select r less than or equal to m of them without replacement, no of ordered lists is

m! / (m-r)!

5

Suppose we have m distinct objects and we select r less than or equal to m of them without replacement, no of distinct subsets of size r is:

m! / r!(m-r)!
(m choose r)