Roughly, theists and deists agree that there exists a God (a being that is a necessary First Cause, Creator and Designer of the universe). At the core, the difference lies in the acceptance of miracles. A miracle is generally agreed to be a highly unusual event with salvific implications. The theist believes in miracles, whereas the deist rejects them.
Consider now the hypothesis that God exists, and it is within God's power to bring about a miracle, but God chooses not to do so. Would this fall under the realm of theism or deism?