# prob - Probability Stat 131A Hank Ibser Notation and...

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Probability Stat 131A Hank Ibser Notation and Definitions A = an event which may or may not occur (“A”) A c = the complement, or opposite, of event A (“A complement”) P ( A ) = the probability that event A occurs (“probability of A”) P ( B | A ) = the conditional probability that event B occurs given that A occurs (“probability of B given A”) A standard deck of cards has 52 cards. There are 4 suits (spades, hearts, diamonds, and clubs) which have 13 cards each. The 13 ranks which appear in each suit are ace, king, queen, jack, and the numbers 2-10. Tools and Rules Here is a list of the basic ways to solve problems. You will often need to use more than one of these for a problem. 1. Counting Equally Likely Outcomes. For equally likely outcomes, P ( A ) = (# of ways that A can occur)/(total number of possible outcomes) Examples: a) the chance of drawing an ace from a deck of cards = 4/52 b) the chance that the sum of two die rolls is 4 = 3/36 (see p238-9 of text) 2. Chance of the Complement (Opposite). P ( A ) = 1 - P ( A c )
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