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SINGLE-EVENT PROBABILITY
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Single-event probability is the probability of a single event occurring within a given set of possible outcomes If you were to apply this to the probability of obtaining heads in a coin ip, there is one successful outcome (heads) and two possible outcomes (heads or tails) So the probability of obtaining heads in a coin ip is: p= s 1 = n 2
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Since the probability is a fraction, it can be expressed as a percentage, with the probability of obtaining heads in a coin ip being 50 percent Single-event probability can also be applied to a single playing card drawn from a standard deck of 52 cards To determine the probability that a selected card is of a black suit, you rst note that a card can be selected from a deck in n = 52 different ways Since there are two black suits (clubs and spades) with 13 cards per suit, a card of a black suit can be drawn from the deck in s = 26 different ways Thus, the probability that the selected card is a card of a black suit is: p= s 26 1 = = n 52 2
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CHAP 14: PROBABILITY AND STATISTICS
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EXAMPLE: What is the probability of not selecting the king of hearts from a deck
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of cards SOLUTION: To determine the probability of not selecting the king of hearts, let s determine the probability of selecting the king of hearts Since the king of hearts is but 1 s Thus, one of 52 cards, the probability of selecting the king of hearts is p = = n 52 the probability, q, of not selecting the king of hearts is q = 1 p = 52 1 = 51 52 52 52
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In single-event probability, you seek to determine the probability or likelihood of a single successful outcome out of a set of possible outcomes In multiple-event probability, you seek to determine the probability or likelihood of two or more successful outcomes occurring, but not at the same time (referred to as mutually exclusive events) or the probability of one outcome occurring and another outcome not occurring (referred to as independent events)
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Probability Involving Mutually Exclusive Events
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