Had to cheat to figure out what you were doing. You've got c equal to the speed of light in a vacuum (299792458 m/sec), which is good. However, you're dividing by 336 days per year (60 sec * 60 min * 24 hours * 7 days * 4 weeks * 12 months) instead of either 365 or 365.25 if you want to include leap years.
It's a good problem, but if you're using specific values for a conversion factor that's important to solving the problem, please make sure you spell it out in the problem description.
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mathematics , probability problem
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