The calendar for the year 2002 will be the same for the year 2013. This means that the dates of the days of the week will align in the same way for both years.

Explanation:
The days of the week are determined by the Gregorian calendar, which is a solar calendar used in most of the world. It has a 400-year cycle, with each cycle consisting of 146,097 days. During this cycle, the calendar repeats itself, including the pattern of days of the week for each year.

In the Gregorian calendar, there are 97 leap years (years with 366 days) and 303 common years (years with 365 days) in each cycle. Leap years occur every four years, except for years that are divisible by 100 but not by 400. So, for example, 2000 was a leap year because it is divisible by 400, but 1900 was not a leap year because it is divisible by 100 but not by 400.

In the 400-year cycle, there are five different patterns of the days of the week for each year. These patterns are repeated throughout the cycle. Therefore, if we know the pattern for a particular year, we can determine the patterns for other years in the same cycle.

For the year 2002, the pattern of the days of the week is the same as the pattern for the year 2013. This is because both years are part of the same 400-year cycle.

Therefore, the correct answer is option 'A' - 2013. The calendar for the year 2002 will be the same for the year 2013.