The expectation is the mean or average of the value of a random variable. In throwing a die, for example, it can be calculated by totaling up the resulting values from a large number of throws and...

The expectation is the mean or average of the value of a random variable. In throwing a die, for example, it can be calculated by totaling up the resulting values from a large number of throws and then dividing by the number of throws.

a. What is the expectation from throwing a fair die?

b. The value of a roulette wheel with 37 equally likely results?

c. The value of a draw from a set of cards (ace is valued at 1, all other face cards as 10)?