"Hazard the die" is an expression that means to take a risk or gamble on an uncertain outcome. In essence, it is similar to other phrases like 'roll the dice,' 'chance one's luck' or 'take a shot in the dark.' Other synonyms for this phrase include 'play with fire,' 'tempt fate,' 'push one's luck,' 'court disaster,' 'live dangerously,' or 'throw caution to the wind.' These idiomatic expressions all reflect the notion of taking a chance on something unpredictable, with potentially positive or negative consequences. It is important to weigh the pros and cons of any decision before deciding to hazard the die.