Scarlet has a box with 16 black pens and 8 red pens. The probability that a pen randomly picked from the box is a red pen is . Scarlet uses a six-sided die to find the probability that each color of pen is picked. She assigns the numbers 1 and 4 on the die for red pens, and assigns 2, 3, 5, and 6 for black pens. Using this simulation, the probability of picking a red pen is , and the simulation used is .