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Mathematical probability is a little genius. Come on, simple random sampling method from a group of six people ...
(1) It is clear that A was drawn in the first extraction, and the second extraction is irrelevant, so the probability is: 1/6.

(2) If only A is drawn in the second time without the first time, the probability is:1/5 *1/6 =1/30.

It doesn't matter whether the middle finger A is drawn or not, whether it is drawn for the first time or the second time, or whether it is drawn once or twice. There are three other possibilities, 1. The first time. 2. The second draw. 3. Both times. The probability is1-5/6 * 5/6 =11/36.