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Section 11-8 Geometric Probability probability • The chance or likelihood that an event will occur. - It is always a number between zero and one. - It is stated as a fraction, decimal, or percent. • A Probability of Zero is saying that there is no chance of it happening. •A Probability of One is saying that the event will always happen. If the event doesn’t occur every time, or none of the time, then we use this formula to determine the probability: P (event) = # favorable outcomes # total possible outcomes Geometric probability • Uses lengths and areas to solve probability problems Example #1 Suppose a point P on AF is picked at random. What is the probability that P is on CF ? A B C D CF 3 P AF 5 E F Example #2 At a carnival game, dishes are positioned on a table so that they do not overlap. You win a prize if you throw a nickel that lands in a dish. If the area of the table is 1.5 m2 and the combined area of the dishes is 1 m2, what is the probability that the nickel will not land in a dish? 1 1.5 1 0.5 P 1.5 1.5 3