In New York's Pick 3 lottery game, you pay $1.31 to choose the sequence of 5 digits, such as 733. If you choose the same sequence of 5 digits that are drawn you win as well as receive $311.09.
a) How many different selections are possible?
b) What is the probability of winning?
c) If you win, what is your net profit?
d) Find the expected value?