Question 1149744
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There are nine possible outcomes:

(in cents):
25 and 25      x
25 and 100     x 
25 and 200 
100 and 25     x
100 and 100    x
100 and 200
200 and 25
200 and 100
200 and 200          

Only the four outcomes marked with an x add to less than 225 (= $2.25)

We can not say P(sum < 225) = 4/9, however, because not all the listed outcomes are equally likely.  Here are the probabilities for the marked outcomes:

25 and 25      1/15 
25 and 100     2/15
100 and 25     2/15
100 and 100    1/15
               ----
               6/15 =  {{{ highlight( 2/5 ) }}}  or 40%