Note that now 1h is not the same thing as in the

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: nt so that we don't keep track of which coin is which, but only how many give heads; elem events now are 0H (same as 2T), 1H (same outcome as 1T), and 2H (same as 0T); events include "at least one head" (which now is {1H, 2H}), etc. Note that now 1H is not the same thing as in the previous example; it is not a two ­element event but rather is a single elementary event.  ­ Axioms: given a sample space S, Prob (or P, or a "probability distribution") is a real ­valued function on the set of events P:Events  ­ ­> [0,1] such that for all events A,B (subsets of S) (i) P(S) = 1 (ii) if (A int B) = emptyset, then P(A u B) = P(A) + P(B)  ­ Consequences of the axioms (iii) P(S ­A) = 1  ­ P(A) (iv) P(emptyset) = 0 (v) P(A u B) = P(A) + P(B)  ­ P(A int B)  ­ Uniform prob distributions: each elem event e has the same prob...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online