In the game of roulette, a player can place a $ bet on the number and have a probability of winning. If the metal ball lands on , the player gets to keep the $ paid to play the game and the player is awarded an additional $. Otherwise, the player is awarded nothing and the casino takes the player's $. What is the expected value of the game to the player? If you played the game 1000 times, how much would you expect to lose?

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c