First, it is IRS thing.
Depending on how much money you win, along with other income, usually, the taxes have personal exemption and standard deduction, after apply both of them so it will be 10% to 35%.
If you win $300 and have no other source of income so you will not pay any federal tax due to personal exemption and standard deduction, if you did so you will get tax refund. If you have a lot of other source of income so $300 will count as taxable income, it doesn't means all of money are gone, only some portion will be gone, depending on income.
Saying lottery tickets are worthless, is opinion matter.