10,000 Stars

In QBasic, a way to do this is to pick a random column and a random row for each point. That is what the program does:

SCREEN 12
FOR DOT = 1 to 10000
  LET X = INT( 640*RND )    ' pick a random column 0 to 639
  LET Y = INT( 480*RND )    ' pick a random row    0 to 479 
  PSET( X, Y)               ' draw the random point
NEXT DOT
'
END

Here is what it draws: