[R] Probability Question

[Matilda E. Gogos]

Hello,

This is a question from a class I'm not in (it's also winter break). But,
all the same, I don't know where to start in R with this. It's supposed to
be done in R.  So, can anyone direct me with a helpful hint or 2, on how to
get started with the question listed below, or tell me how I can re-post
this to Usenet groups sci.stat.consult., so they can help with this
question:

Exercise 1. Let Ω = {H,T,E}(a set with 3 elements, called H ,T and E . You
can think of “heads”, “tails” and “edge” if you like, but this
interpretation is not necessary).

1. List the elements of the powerset P (Ω) of Ω. (Recall that the powerset
of a set is the set of all subsets of that set, including Ø (the empty set)
and the whole set.)

2. Suppose P is a set function on Ω (that is, a rule assigning real numbers
to subsets of Ω). Suppose that

P({H,T}) = 3, P({H,E}) = 3, P({H}) = 1 444

Why is it impossible that P is a probability measure ? (That is, no matter
how P is defined on the remaining subsets of Ω, it can’t be a probability
measure.)
-- 
Best,
Matilda Gogos
matildaelizabe...@gmail.com

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