Consider the experiment of drawing two cards from a deck in which all picture cards have been removed and adding their values (with ace = 1).
a. Describe the outcomes of this experiment. List the elements of the sample space.
b. What is the probability of obtaining a total of 5 for the two cards?
c. Let A be the event "total card value is 5 or less." Find P ( A ) and P ( A c ).
Tips: You have cards from 1-10 in four different types; spades, diamonds, clubs, and hearts. To get the sample space you need to consider all combinations of a certains sum; for example, sum value of 2 could be:
[1 spades + 1 diamonds], [1 spades+1 clubs], [1 spades+ 1 hearts],
1 diamonds + 1 clubs, 1 diamonds + 1 hearts, 1 diamonds + 1 spades,
1 clubs +1 hearts, 1 clubs +1 spades, 1 clubs + 1 diamonds,
1 hearts + 1 spades, 1 hearts + 1 diamonds, 1 hearts +1 clubs