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Yes, both Men's Ice Hockey and Women's Ice Hockey are in the Winter Olympics.
Ice Hockey: 1998 Winter Games in Nagano.
Field Hockey: 1980 Summer Games in Moscow.
No, because ice hockey is a winter sport. So no, but it will be in the 2014 winter olympics.
The game Ice hockey is in the Winter Olympics. But ball hockey is not in any Olympics
The first women's ice hockey event was at the 1998 Winter Games in Nagano.