"Consider the experiment of drawing two cards with-out replacement from a deck consisting of only the ace through 10 of a single suit (e. g., only hearts).

a. Describe the outcomes of this experiment. List the elements of the sample space.

b. 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 ace = 1). List the outcomes associated with A i for i = 3 to 19.

c. What is the probability of obtaining a sum of the two cards equaling from 3 to 19?

What is the probability of drawing an ace first followed by a 2? How does this differ if the first card is replaced in the deck? Clearly explain what formulas you use and why. "