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AP Statistics – Simulation Exercise The following problem was from the 2004 American Mathematics Competition. Select numbers a and b between 0 and 1 independently and randomly, and let c be their sum. Let A, B and C be the results when a, b and c, respectively are rounded to the nearest integer. What is the probability that A + B = C? One way to determine this probability would be with a simulation – if we do enough repetitions, the results should approximate the actual probability. Enter these commands on your screen exactly as you see here. When you separate commands by a colon (ALPHA period key) this is called concatenation. If you concatenate the commands, then each time you press the ENTER key, you perform another 200 repetitions. Probability that A B C is