1. In the fantasy role-playing game Onions & Wagons, you need to roll a six-sided die, followed by a four-sided die. Assume each die is fair. If the sum of the numbers on your pair of dice is greater than 7, then your roll results in your game character winning a battle. (a) What is the experiment in the scenario described above? (b) List all outcomes comprising the sample space of this experiment. (c) What is a quick way of computing the total number of outcomes in the sample space? Provide a brief explanation. (d) What is the event of interest that is described in the above scenario? Express this event in both words and as a subset of the sample space using set notation. Let's call this event A. (e) Compute (A). Include a brief explanation of how you know you computed this probability correctly. (No need to refer to our fancy function definition here.)(f) What middle-school-level definition of probability were you using in the previous prompt? Your choices are: relative frequency definition or equally-likely outcomes definition. Include a brief explanation