Patricia Baronowski is in serious condition at Stony Brook University Hospital.
She was in free fall over Calverton on Saturday when she collided with another skydiver.
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Baronowski, 46, was knocked out and landed in a tree after her reserve parachute deployed.
Doctors say she's lucky to be alive.
Baronowski suffered head and spine injuries that required surgery.
Remarkably, doctors say they expect her to make a full recovery.
The other skydiver that she collided with Kevin Arcamona, 29, suffered a leg injury and has been released from the hospital.