The following table describes the survival of patients treated from disease X from 2015 to 2017 followed for 3 years (assuming no loss to follow-up) .If a person is treated and using all the information from the table,what is the probability of surviving 3 years after treatment? $\begin{array}{r}\text{ Number alive at the end of year }\\ \begin{array}{lllll}\text{ Year of treatment }& \text{ Number of patients treated }& 1\text{ year }& 2\text{ year }& 3\text{ year }\\ 2015& 100& 67& 42& 30\\ 2016& 50& 31& 18& \\ 2017& 75& 52& & \\ \text{ Totals }& 225& 150& 60& 30\end{array}\end{array}$

A) 0.29
B) 0.33
C) 0.61
D) 0.67
E) 0.71

The probability of surviving 3 years after treatment is calculated by dividing the total number of patients alive after 3 years by the total number of patients treated. From the table, 30 patients survived 3 years out of 225 treated, so the probability is $30/225=0.133$ , which is not an option provided. However, considering the context and the options given, it seems there might have been a misunderstanding in interpreting the question or the options provided. If we consider the correct approach to calculating the probability based on the information given, it should be $30/225=0.133$ . Since this answer is not available among the options, and assuming a possible mistake in the calculation or interpretation, the closest correct choice provided in the options based on the standard calculation method would be:A) 0.13However, this direct calculation does not match any of the options provided, indicating a possible error in the interpretation of the question or the provided options.