You're right, Brian--I was coding from memory and left out an expression in the fifth line:

Code:
             SEED=32771
LOOP:        RANDOM SEED
             TIME=(SEED//11)+1
             IF TIME<2 OR TIME>10 THEN GOTO LOOP
             TIME=1000*(TIME-1)
             HIGH LED
             PAUSE TIME
             LOW LED
             PAUSE 1000
             GOTO LOOP
             END
That will generate the values 1 to 10.

I've had to use a similar trick before with other forms of BASIC, notably a tinyBASIC implementation for the 8051 family, because the "ends" of the range (1 and 10) came up disproportionately often.

If you were satisfied with the distribution based on your empirical test, then it's certainly good enough for any applications I have in mind.

Thanks for a really good answer!