An urn initially contains 5 white and 7 black balls. Each time a ball is selected, its color is noted and it is replaced in the urn along with 2 other balls of the same color. Compute the probability that a. the first 2 balls selected are black and the next 2 are white; b. of the first 4 balls selected, exactly 2 are black.

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例1. 一个口袋内装有5个白球和2个黑球，现从中每次摸取一个球，取出黑球就放回，取出白球则停止摸球。求取球次数 的数学期望 与方差 。

a. 首先抽出2个黑球和2个白球的概率为：7/12 * 6/13 * 5/15 * 4/17 = 0.096。 b. 首先抽出2个黑球和2个白球的概率为：7/12 * 6/13 * 5/15 * 4/17 = 0.096。
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