Taking a chance is an act of daring to do something that may have an uncertain outcome. There are many synonyms that can be used to describe this risky act. "Taking a risk" is one of the most commonly used alternatives. "Venturing" and "gambling" are two other synonyms that reinforce the idea of uncertainty. "Rolling the dice" is a more conversational way to describe taking a chance. "Hoping for the best" conveys both the uncertainty of the situation, and the attitude of positivity. "Trying your luck" and "flying by the seat of your pants" both suggest a certain level of audacity or recklessness. All of these words and phrases convey the daring, uncertain and risky nature of taking a chance.