## Elementary Statistics (12th Edition)

a) We know that $odds=\frac{number \ of \ good \ outcomes}{number\ of\ all\ outcomes-number \ of \ good \ outcomes}$, hence $odds=\frac{999}{1000-999}=\frac{999}{1}$, hence the odds are 999:1. b)We know that $odds=\frac{number \ of \ good \ outcomes}{number\ of\ all\ outcomes-number \ of \ good \ outcomes}$, hence $odds=\frac{499}{500-499}=\frac{499}{1}$, hence the odds are 499:1. c) The odds against winning are 999:1, hence the odds for winning are 1:999, not 1:1000, hence the description is wrong.