Drawing straws is a common method of making a random decision. However, there are many other synonyms that can be used in place of drawing straws. One possible phrase is "to flip a coin." This method involves flipping a coin and assigning one outcome to one party and the other to the other. Another phrase is "to roll the dice." This means using a pair of dice to decide which option to choose. Other synonyms for drawing straws include "rock, paper, scissors" and "spin the bottle." Regardless of the method used, it's important to ensure that the selection process is random and fair to all involved parties.