The Rare Illness and the Cure

One day Alec wakes up feeling slightly queasy. He goes to his doctor, Chimayo who tells him that he has caught a serious disease that will leave him as dead as a doorknob. But there is a cure. The cure is to take one A pill and one B pill everyday for 15 days. The doctor has luckily only 15 pills, and there is no one else in the world who can get pills to Alec within 15 pills. So Alec goes home and looks at the bottles of pills. He notices that the pills are seemingly identical (same weight, smell, color, shape, etc.) Alec then takes out one A pill and one B pill and swallows. The next day as he is about to take his pills he looks in his hand and sees 3 pills. He counts the pills in the boxes and sees that he took out two A pills. Unfortunately since the pills are seemingly identical he cannot tell which one is which. Alec also knows he must take the exact prescription or he will die. Luckily he thinks about this and finds a way out of this dilemma. Can you?

The first person to answer this correctly gets their name in the next puzzle.