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State tax filing
Oklahoma, yes - you would file as a non-resident OK Form 511 NR. Cruise, no - as you live in Texas and there is no state income tax.
On your OK Form 511 NR, you are allowed to deduct either your OK standard deduction or your Federal Itemized deductions.
When you entered your Oklahoma gambling winnings and all gambling losses in the federal sections of TurboTax, the gambling losses will transfer over to the Oklahoma return as part of your itemized deductions. There is no additional place to enter these losses in the OK return. There is no distinction for state of gambling loss.
You could
still wind up owing some tax to Oklahoma even though you claim losses up to the
extent of your gambling winnings. That's because OK computes a nonresident taxes based on their federal Adjusted Gross Income, then applies a percentage
to the total tax based on the ratio of your income from OK to your total
income.