Oswald claimed he was a Patsy because it wasn't his shot that hit Kennedy in the head and killed him. Oswald's first shot missed and hit the pavement to the right of the presidential limo as it drove past, fragmented into multiple pieces one of which struck Kennedy in the back of the head. Oswald's second shot struck Kennedy in the back of the neck, passed through him and struck Governor Connally. Oswald never fired a third shot, the third casing(deformed) was already in the rifle. If there had been a conspiracy to assassinate Kennedy, why would they send an assassin with a cheap rifle and even cheaper scope and little hope of success. The only conspiracy was the one by the Secret Service to cover up the accidental discharge of an M16 in the follow up car resulting in tragic death of the President