Rose is playing a game using a single die. The die is six-sided cube with each face having a number from 1-6 on it. For each roll resulting in a number greater than three she gets a point, and for each roll resulting in a number less than three she loses a point. She rolls the die on her next turn and says, “Oh I guess that means I neither lose nor win any points on this turn.” What number must have come up on the die

Question

My guess is 3

Can you check and solve