Chapter 5, Problem 3PE

Consider the experiment of drawing two cards without replacement from a deck consisting of only the ace through $10$ of a single suit (for example, only hearts).

1. Describe the outcomes of this experiment. List the elements of the sample space.
2. Define the event $A_i$ to be the set of outcomes for which the sum of the values of the cards is $i$ (with an $\text{ace = 1}$ ). List the outcomes associated with $A_i$ an ace for $i=\text{3 to 19}\text{.}$ What is the probability of obtaining a sum of the two cards equaling from $\text{3 to 19?}$