Based on Miguel's activities in the casinos, the amount that can be deducted is $2,000.
Gambling tax laws are such that one can set off their gambling losses against their wins. This means that one can deduct the lower amount between their winnings and their losses for the year.
Miguel's winnings:
= 600 + 1,450
= $2,050
Miguel's losses:
= 800 + 1,000 + 200
= $2,000
The amount he can deduct is therefore $2,000.
Find out more on gambling deductions at https://brainly.com/question/24315976.