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??

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