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There are 7 good items and 3 bad items in a box. Players AA and BB take turns to draw from items from the box

There are

7

good items and

3

bad items in a box. Players AA and BB take turns to draw from items from the box

-

AA first, then BB

,

then AA again, and so on

.

The items that are withdrawn are not replaced. The winner is the first one to draw a bad item. What is the probability that player BB wins?

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