There are 10 new balls and 2 old balls in the bag. If you take one at a time and don't put it back, what is the probability of taking out the old ball for the second time? My probability is very poor

There are 10 new balls and 2 old balls in the bag. If you take one at a time and don't put it back, what is the probability of taking out the old ball for the second time? My probability is very poor ~ Principle of drawing lots: it is equivalent to 10. Two of the lottery tickets are winners, and each person draws one at a time. No matter whether you draw first or later, everyone's lottery winning probability is equal to 2/12 =1/6;

A full row is a full row, that is, twelve balls are arranged in a row, that is, A( 12, 12), and the old ball is in the second position. There are two ways to place the remaining eleven balls randomly, so the probability is 2 * A (1 1, 65438+).

I don't know how to explain this. You got it?