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A miracle is God intervening and altering an event for His purpose. Ex: a car accident: the car and passengers are involved in a brutal car wreck, the car is crushed and hurled off the road and into the trees, everybody comes out completely alright; the miracle is that, by God's hand, He saved them when normally they would have died. Or: a person being healed, on the spot, of cancer; having a limb grown back, or being able to see or hear when one was blind or deaf. Those are miracles: things that shouldn't happen, but by God's intervention, do.
Magic is calling upon demonic forces for power, which is strictly forbidden in the Bible.