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We place in a bag 5 bills of 500 DA, 7 bills of 1000 DA, and 10 bills of 2000 DA. A handful of 8 bills are chosen at random, each bill having the same probability of being caught. 1. What is the probability of not having chosen any 500 DA banknotes? 2. What is the probability of having obtained only 2000 DA bills? 3. Repeat the experiment by drawing the bills one by one and putting the bill back in the bag after drawing it. Calculate the probabilities of the two events above in this new experiment.

Learn how to calculate the probability of selecting bills from a bag. This problem covers key concepts of probability, including combinatorics and the law of total probability. Suitable for students in Grades 9-12.

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