# precalculus

There are two boxes. The red box contains four red marbles and one blue marble, and the blue box contains five blue marbles and three red marbles. The following experiment is done a hundred times: A marble is randomly drawn from one of the boxes, its color recorded, then replaced in the same box. The first drawing is from the red box, but each subsequent
drawing is determined by the color of the marble most recently drawn: if it is red, the next drawing comes from the red box; if it is blue, the next drawing comes from the blue box.
What is the probability that the first marble is red? the first marble is blue? the second marble is red? the second marble is blue? the hundredth marble is red?

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