A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble from the bag. If you get an orange marble or yellow marble, you win a prize.
Answer these questions:
a. What is the theoretical probability of winning the game? Show your work..
b. What is the most likely outcome? Use probabilities to support your answer, and show your work.
c. What is the least likely outcome? Use probabilities to support your answer, and show your work.
d. Is it more likely that players will win or lose playing the game? Explain why.