What is the Olympic event in which you cross country ski and have to shoot an arrow?
That Olympic event is called the biathlon.
Actually, in the Olympic biathlon, athletes cross-country ski
and then shoot a rifle at a target. There is a variation of the
biathlon called the archery biathlon where the athletes
cross-country ski and then use a bow and arrow to shoot at a
target, but although it is popular in certain countries (especially
Canada and Russia), it is not an Olympic event.