Mat 144 major assignment analysis sheet empirical ruleWhen you roll two six-sided dice, any result between 2 (two ones) and 12 (two sixes) are possible. To determine the probability of getting each outcome (2, 3, ..., 11, 12), you would start by enumerating the number of ways to roll each numberfor example, there are 3 ways of rolling a 4 (the first die is 1 and the second die is 3, the first die is 2 and the second die is 2, and the first die is 3 and the second die is 1). What do these enumerations look like for each of the outcomes 2, 3, ....? How many total outcomes are there, if you add up the options for each outcome? Now, assuming that each die is equally likely to land on each number (1 through 6), what is the probability of rolling each of the values 2, 3, ..., 12? Here, you'll use the formula Probability of rolling N = (# of ways of rolling N) / (total # of outcomes) Finally, what would a fair payout be for betting on a particular roll? For example, let's say you bet $1 that a value of 5 will