A box contains 10 white and 10 black marbles. Construct a sample space for the e

Question

A box contains 10 white and 10 black marbles. Construct a sample space for the experiment of randomly drawing out, with replacement, two marbles in succession and noting the color each time. (To draw "with replacement" means that the first marble is put back before the second marble is drawn.) A box contains 16 white and 16 black marbles. Construct a sample space for the experiment of randomly drawing out, with replacement, three marbles in succession and noting the color each time. (To draw "with replacement" means that each marble is put back before the next marble is drawn.)

Explanation / Answer

1) Total sample space = 20C1 * 20C1 = 20 * 20 = 400

2) Total sample space = 32C1 * 32C1 * 32C1 = 32 * 32 * 32 = 32768

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