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Calculating Empirical Probability When Outcomes are Equally Likely

In an experiment in which all outcomes are equally likely, the empirical probability of an event E is

P(E) =


(The "favourable outcomes" are the outcomes in E.)

A pair of dice (one red, one green) is cast. We find the empirical probability that the sum of the numbers facing up is 7.

S = sample space = set of all pairs of numbers 1 through 6

                   n(S) = 36

(Go back to the beginning of the previous tutorial if you need a refresher on this...)

E = set of favorable outcomes = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

n(E) = 6

P(E) = =



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