Gambling has become a widespread form of entertainment for people worldwide, where they take chances with luck and probability to win big. The phrase "gamblers chance" has been used to describe the unpredictable nature of gambling. However, there are several different synonyms that can be used instead of "gamblers chance," such as "roll of the dice," "luck of the draw," "playing the odds," "taking a risk," and "chancing one's luck." All of these phrases imply that a certain level of risk or chance is involved when gambling, and it's up to the person to decide whether or not to take that chance and potentially win big.