6. For an insurance coverage, claim counts follow a binomial distribution with $m=4 . q$ varies by insured with the following probabilities: \begin{tabular}{|1||CC|} \hline$$ & $0.1$ & $0.2$ & $0.3$ \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 0 claims in the third year CS.JG. 140