There are two things you might do as a bookmaker:
(1) Perceive the truth of who is likely to do what, and set odds reflecting that perfect Platonic reality, but with a percentage taken off for yourself.
(2) Adjust the odds you offer over time such that, come the event, the amount you stand to collect on either side will cover the amount you owe to the other side.
You don't need to know the odds to use strategy (2). Nor do you need to reject bettors who are likely to be right.