"抛硬币决定问题" can be translated into English as "flip a coin to decide the issue/matter" or "use a coin toss to make the decision".
Here are some example sentences for context:
If we can't agree, let's flip a coin to decide the issue.
(如果我们无法达成一致,那就抛硬币来决定这个问题吧。)
When in doubt, use a coin toss to make the decision.
(当拿不定主意时,就用抛硬币来做出决定吧。)