An archer fires an arrow at the target to the right.

a. The archer hits the target with his first arrow.

List the possible outcomes.

b. Are the outcomes you listed in part (a) equally likely? Justify your answer.

c. Are the outcomes listed in part (a) mutually exclusive? Justify your answer.

d. The archer fires several arrows at the target. They all hit the target. He works out that his probability of hitting the blue ring was 0.2 and the probability of hitting the red ring was 0.4. How likely was he to hit the black ring compared to the red ring? Justify your answer.