Consider the experiment of drawing two cards without 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?

 

Cards
Sample Space
Card 1	Card 2	SUM
1	2	3
1	3	4
1	4	5
2	3	5
1	5	6
2	4	6
1	6	7
2	5	7
3	4	7
1	7	8
2	6	8
3	5	8
1	8	9
2	7	9
3	6	9
4	5	9
1	9	10
2	8	10
3	7	10
4	6	10
1	10	11
2	9	11
3	8	11
4	7	11
5	6	11
2	10	12
3	9	12
4	8	12
5	7	12
3	10	13
4	9	13
5	8	13
6	7	13
4	10	14
5	9	14
6	8	14
5	10	15
6	9	15
7	8	15
6	10	16
7	9	16
7	10	17
8	9	17
8	10	18
9	10	19