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Lesson 70 Probability Designated Order Probability • Probability = (number of desired outcomes) (number of possible outcomes) • Independent events: happens regardless of anything else Example 70.1 • A fair coin is tossed three times and comes up heads every time. What is the probability on the next toss that it will come up heads? Example 70.2 • Six green marbles and eight red marbles are placed in a bag. One marble is drawn and then dropped back in the bag. Then, a second marble is drawn and dropped back in the bag. Both marbles were red. If another marble is drawn, what is the probability that it will be red? Example 70.3 • A single die is rolled three times. The results are a 1, a 4, and a 3, in that order. What is the probability that the next roll will produce a number greater than 2? Example 70.4 • Two dice are rolled. What is the probability that the sum of the numbers rolled is (a) 7? (b) a number greater than 8? Dependent Events • Events that must happen in a certain order. • Multiply the probabilities Example 70.5 • A fair coin is tossed four times. What is the probability that the first two times it comes up heads, and the last two times it comes up tails? Example 70.6 • The spinner shown is spun twice. What is the probability that the spinner stops on 4 and then on 3? 4 1 3 2 Homework • Practice a – e • P.S. 70 • 1-5 all, 6-30 even