I have encountered exactly 2 cougars in all my years of tramping around the outdoors.

The first one was way too close for comfort and left me spooked for quite some time. The second was a bit further away and it was a privilege to see such a magnificent animal for a few long seconds before it bounded away.

As HM mentioned, plenty of other threats out there that will take you down and snuff out your life in an instance, before an extremely rare chance of a cougar attack ever will.