6. For an insurance coverage, claim counts follow a binomial distribution with $m=4 . q$ varies by insured with the following probabilities: \begin{tabular}{111CICICL] \hline$q$ & $0.1$ & $0.2$ & $0.3$ \hline Probability & $0.5$ & $0.25$ & $0.25$ \hline \end{tabular) An insured submits 0 claims in the first year and 3 claims in the second year. Calculate the predictive probability of the same insured submitting claims in the third year. CS.JG. 140