Posted by Rachael on Saturday, August 17, 2013 at 8:23pm.
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 probabilit 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 (Ac).

Math  Reiny, Saturday, August 17, 2013 at 10:37pm
sample space:
cards  sum
1 2 3
1 3 4
1 4 5
1 5 6
1 6 7
1 7 8
1 8 9
1 9  10
1 10  11 total outcome here is 9 , one with a sum of 5
2 3 5
2 4  6
..
2 10  12 total outcome here is 8 , one with a sum of 5
3 4
3 5
..
3 10  total outcomes here is 7, no sum of 5 possible
....
9 10  one outcome, no sum of 5
total number of outcomes:
9+8+7+6+5+4+3+2+1 = 45
cases where the sum is 5 is 2
B) prob of sum of 5 = 2/45
C) to get a sum of 5 or less, I see only 4 cases
prob (5 or less) = 4/45
don't know what you mean by P (Ac) 
Math  Rachael, Sunday, August 18, 2013 at 1:53am
Liked your answer, did not see it the first time, thanks!

Math  John, Saturday, March 14, 2015 at 10:32am
This can't be correct. There are four suits so wouldn't the sample space be 45 x 4 = 180??