In the gambling game Chuck-A-Luck, a player can bet \($1\) on any number from 1 to 6. Three dice are thrown and the payoff depends on the number of times the selected number appears. For example, if you pick the number 2, your payoff is \($4\) if all three dice have the number 2. What is the expected value of the payoff?

Transcribed Image Text:

Number of dice with selected number Payoff (dollars) 1 2 3 0 2 3 4