A diamond merchant accidentally dropped 3 valuable diamonds and 7 less valuable but similar zircons together into a bowl. To separate the two kinds of gems, the merchant must examine each with a hand lens. What is the probability that the merchant will find the 3 diamonds after 3 examinations? (obviously, two could never be sufficient)
Try solving the above problem without specific help, at least for a few minutes. Look to a general guide to solving story problems. You may wish to represent the problem as a tree, and expect to use conditional probabilities. Note similarities to example [1b] Pg 549 of our text: Rolf. If you still become hopelessly stuck, or wish to see a solution, push the