(Q6.1.d) In one version of roulette, a wheel has 18 black slots, 18 red slots and 2 green slots. All slots are the same size. A player can place a bet on either red or black. Green is reserved for the house. If a player places a bet of $6 on either red or black and that color comes up, they get back their $6 and win an additional $6. Otherwise, the casino takes the player's $6. 1. Fill in this table by saying what (a), (b), and (c) are. Assume the player bet on RED $x won P(x) (a) (b) (win) $6 (c) (lose 2. Find the expected value of playing the game once. Say how you found it (show calculation or describe calculator function used). 3. Casinos often have a screen up at roulette tables showing the outcomes of the last 20 spins. Is this helpful information? Say why it IS or IS NOT helpful to the gambler