Many wrestlers have the ability to beat a bear if any comes into an arena. Bear attacks at a wrestling event are very, very rare these days, but back in the 1900-1930s, it occured alot. Why else would there be a bear hug? At all times, wrestlers had to be prepared for any bear attack, especially during the 98th minute of a match. Remember, bears attack the weak.
It wasn't until the 1970s when bears would almost stop attacking when bigger guys became prevalent. But ever since 2005, when the Wellness program was announced, bear attacks have started to returned. Sadly, many of the wrestlers have not taken the 2-week training in preventing a bear attack.
Now, photos of actual wrestlers fought off or being attacked by an actual bear in an undoctored manner have begun to spring up online. Here are some of the photos now (click to enlarge):

Credit to: AP Photos
One of the most earliest bear attacks happening at the beginning of the year. During a house show match between Batista and Mark Henry, a bear came out of nowhere and attacked Batista, which severely injured him and caused him to be out for almost 6 months.

Another bear attack happened at Summerslam where Chavo was trying to enter the ring when a large bear came out of nowhere and began to grab Chavo's leg and rip it off, maybe to eat it for later. Chavo, though, fought to free his leg, which stalled time for security to save him.

Not all bear stories end with someone getting attacked. During an ECW event, a bear came out, ready to attack the competitors in the ring. Luckily for everyone there, Holly was at the arena, armed with a chair. Holly was able to take out the bear and save the competitors also. Afterwards, he attacked them too.

During a recent RAW event, a match between Nitro/Hardy was interrupted after a bear entered the ring. Hardy tried to fly onto the bear, but it swinged at him, knocking out of the ring. Nitro, though, used his brains as he couldn't fight the bear. Instead, he ducked and covered. Because bears have bad vision, Nitro knew the bear would not be able to see him from the ground. Many thought this was a wuss move, but Nitro is still safe.

In this photo, RVD is about to attack a pizzly bear as its lying on the table. During his 30 day suspension, RVD was able to take those 2-weeks to learn how to deal with an attack. RVD was able to kick the bear onto the table, in which he flew through and caused the bear to, let's say, die.
Although few of these attacks have ended up being injurious, many times, the wrestlers have been able to protect themselves and prevent it from happening. Be warned, though. If you ever go to a wrestling event, you may experience a bear attack against a wrestler....for yourself. Just remember to do what fellow Diva Sharmell did:

Run and scream in terror to warn others.
And you know the rest of the story...........Good day.