What's wrong with using $RANDOM + $FLOOR in bash?

Question

Reading this: http://www.tldp.org/LDP/abs/html/randomvar.html

#  If you need a random integer greater than a lower bound,
#+ then set up a test to discard all numbers below that.

FLOOR=200

number=0   #initialize
while [ "$number" -le $FLOOR ]
do
  number=$RANDOM
done
echo "Random number greater than $FLOOR ---  $number"
echo

   # Let's examine a simple alternative to the above loop, namely
   #       let "number = $RANDOM + $FLOOR"
   # That would eliminate the while-loop and run faster.
   # But, there might be a problem with that. What is it?

I have been not able to come up with a decent answer to the question in the last comment. That's the way I always generated my pseudorandom numbers in other languages (C/C++, Pascal), and had no problems -- is this something relevant only to Bash?

Answer 1

In programming languages where your random-number generator could give you values up to just below the overflow point, the latter code would have a bug wherein items within the range between MAXINT - FLOOR and MAXINT would overflow.

Bash does not have this bug, but the reference you are reading is evidently written without that awareness.