STA255H1 Lecture Notes - Lecture 2: Binomial Coefficient, Face Card, Black Cards
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Define the experiment and describe a sample space, s. Assign probabilities to the sample points in s. Define the even a as a collection of sample points. Calculate p(a) by summing the probabilities of sample points in a. Suppose we want to make a series of decisions. There are (cid:1855)(cid:2869) choices for decision 1 and for each of these there are (cid:1855)(cid:2870) choices for decision. Then the number of ways the series of decisions can be made is (cid:1855)(cid:2869) (cid:1855)(cid:2870) (cid:1855)(cid:2871) . We record the birthdays for each of 20 randomly selected persons. Assuming there are 365 possible distinct birthdays, find the number of points in the sample space s for this experiment. Example: you have 2 pairs of jeans, 3 shirts and 2 pairs of shoes. Example: how many 3 letter words can be composed from the english alphabet if (a) there is no limitation (b) the words have 3 different letters.
