This is why it pays to be well versed in statistics.
For example, imagine a mouse is being chased by 9 cats and gets cornered. A simple-minded mouse would turn into a quick snack. But the enlightened mouse would realize that statistically he is 90% cat and 10% mouse, as are his pursuers.
Another example that helped me (just to prove that squeak <> mouse) personally. I went to a kiddush where there were 15 bottles of decent mashke. If I were to take a shot from each bottle I would have quickly become drunk and been carted off. Luckily, I noticed that most people were not drinking at all – I counted only 15 people out of about 100 having drinks. So we were each able to easily drink 15 shots, knowing that we were only consuming 2.25 shots, statistically.
I made it home, though I have no idea what happened to the others. I must have blacked out for a bit.