I was using those expo dry erase markers and i wiped some of it with my finger (making a correction) but i forgot to wash my hands when i ate lunch. i try not to do this but will i get sick from it? is it carcinogenic?

No.

You will not get sick from it. Even if the ink is carcinogenic, the amount of exposure is negligible enough to not be a cause for concern. You can reduce your risk of cancer by adopting healthy habits: Eat a mostly vegetarian diet, avoid alcohol, tobacco and street drugs, avoid excessive exposure to sun, maintain healthy weight, get HPV vaccine, exercise 30 minutes each day.