Catch = ((( 3 Max HP - 2 Current HP ) Catch Rate Poke Ball Bonus ) / ( 3 Max HP )) Status Condition Bonus
This is the equation I will use:
(((3 416 - 2 1) 3 2)/(3416))2
(this is with sleep)
= 11.980769230....
or 12
This is the equation if you were to paralyze it and not make it fall asleep:
(((3 416 - 2 1) 3 2)/(3416))1.5
=8.9855769230......
or 9
(the reason I couldn't do both status conditions is you cant be paralyzed and asleep at the same time, as far as I know)
So, the chance would be 12 if you make Mewtwo fall asleep, and 9 if you paralyze him.
Hope I helped!