Must, might, or can't: express certainty and doubt
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Must shows that your evidence leads to one strong conclusion. May, might, and could show that an explanation is possible, while leaving room for other answers. Can't shows that an explanation conflicts with known facts. In deductions, these words do not express rules, permission, or physical ability. They express how sure you are based on what you observe.
The apartment lights are on, so Daniel must be home.