The four faces of a tetrahedral die are labelled 0,1,2, and 3, and the die has the property that, when it is rolled, the die promptly vanishes, and a number of copies of itself appear equal to the number on the face the die landed on. For example, if it lands on the face labelled 0, it disappears. If it lands on the face labelled 1, nothing happens. If it lands on the face labelled 2 or 3, there will then be 2 or 3 copies of the die, respectively (including the original). Suppose the die and all its copies are continually rolled, and let p be the probability that they will all eventually disappear. Find \left\lfloor\frac{10}{p}\right\rfloor.