I'll reveal my dark secret.....................................................

I have gotten into watching Championship Bull Riding on RFD channel. And a few days ago I just left the channel on after the bull riding was over, and they were doing a cattle auction - I got the idea that they were auctioning off cows that had been bred in hopes of producing really good-riding, bucking bulls. So, my weird questions::
1. the trait to be active & do a lot of jumping/twirling/bucking - can it be genetic???
2. As they were showing each cow that was to be auctioned, they were all bred, and they said, for almost each one, that she was exposed to, ............................and then he would rattle off the names of three bucks, allegedly good rodeo bulls, and they would sometimes show video of one or more of the bucking bulls in action. So..............I'm assuming that these cows were not AI, they were live cover, but why expose her to three bulls?? That way, when she settles, you couldn't be 100% sure of the sire, could you??? Or does it not matter, if each of the three bulls are pretty equal in conformation, temperment, bloodlines, etc???