Answer
See below.
Work Step by Step
If $P(E)$ is the probability of the event $E$ then $0\leq P(E)\leq1$ by definition, also in a probability model the sum of all probabilities equals $1$.
Hence here all probabilities are in the right domain, and the sum is: $0.00000000386+0.00000005408+0.00000135192+0.00001892689+0.00009328256+0.00342036036+0.01770813839+0.04674948535+0.93200839659=1$, hence yes it is a probability model.
