Mass spectrometric analysis of potassium and argon atoms in a Moon rock sample shows that the ratio of the number of $(stable)^{40}$ Ar atoms present to the number of (radioactive) 4$^{\circ}$K atoms is 10.3. Assume that all the argon atoms were produced by the decay of potassium atoms, with a half-life of 1.25 $\times$ 10. 9 yr. How old is the rock?