A wheel contains 42 numbers: 20 are red, 20 are black,
and 2 are green. When the wheel is spun, the ball is equally
likely to land on any of the 42 numbers. Suppose that you bet
$1 on red. If the ball lands on a red number, you win $1 on
top of your $1; otherwise you lose your $1. Let X be
the amount you win on your $1 bet.
Construct the probability distribution for the random variable
X (i.e. make a table of the probability distribution of
X).
Calculate the expected value of the random variable X
and provide an interpretation of its value in the context of the
question.