Math

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).

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  1. 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)

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  2. Liked your answer, did not see it the first time, thanks!

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  3. This can't be correct. There are four suits so wouldn't the sample space be 45 x 4 = 180??

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