1. How can the expected value of the throw of a six-sided die be 3.5, when there is no number 3.5 on a die?
Think of it as the long term average of throwing the die. If you threw the die 1000 times and added up the score you would expect to total about 3.5 × 1000 = 3500.
2. Of what use are expected values in real life?
They are often used by insurance companies to help fix the premiums they charge and by gamblers to work out the chances of winning (and losing!)
