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Olympic mathematics training
Solution: (1) Let A and B pass the first selection as events A 1 and B 1 respectively, where E means that A is qualified and B is unqualified after the first selection, then

;

(2) Let A, B and C be selected as events A, B and C after two choices, then

;

(3) If F means that after two selections, just one person is qualified, then

.