Abstract: The present invention discloses a combined totalizator and fixed odds betting system able to be operated both on and off-course via a central computer (C) connected with communication links (L) to a large number of betting terminals (T). Both totalizator wagering and fixed odds betting are conducted with a common pool. During the lead up to the race the fixed odds dividend to be paid is adjusted for each runner in stages in accordance with the potential liabilities arising at each stage from the bets to date as the pool increases in size towards race starting time.