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Birthday “Paradox” There are N people in a room. What is the probability that two people have the same birthday? 1 Match Probabilities Choose a number (0..9) Now pick a number at random, what is the probability of getting the chosen number? Try Fail Success 1 0.90 0.1 2 0.81 0.19 3 0.73 4 Pick numbers at random (0..9) What is the probability that you get two numbers with same value? Try Fail Success 2 0.9000 0.1000 3 0.7200 0.2800 0.27 4 0.5040 0.4960 0.66 0.34 5 0.3024 0.6976 5 0.59 0.41 6 0.1512 0.8488 6 0.53 0.47 7 0.0605 0.9395 7 0.48 0.52 8 0.0181 0.9819 8 0.43 0.57 9 0.0036 0.9964 9 0.39 0.61 10 0.0004 0.9996 10 0.35 0.65 11 0.0000 1.0000 2