Hi please use the given information to answer each part of the problem and please include a short explanation, drawing, or steps to improve my understanding of the problem. Thank you! How would you describe the sample space? How does one begin to describe the following events?

Two soccer teams play a game whose total score does not exceed 6 goals. Let A be the event that game ends in a tie, B be the event that the home team wins, and C be the event that the away team scores at least one goal. (a) Describe the sample space of this random experiment. (b) Describe the following events: A D B, A U CC, AC 0 B n C, A D (3 U C). Remark: You may describe a set or a subset by listing all its elements or using rules as discussed on page 3 of the Some math slides