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Let us assume:
- vaibhav.kharee June 03, 2016N -> total cards
1-n -> numbering
k -> cards face up
N-k -> face down.
We need to find out probability of sum(k) divisible by 7.
Here we have no information about the sum(k), it can be anything. Let us take an example suppose we were asked to find out what will be the probability of sum(k) divisible by 2, the answer would be straight forward it is 1/2. On similar lines the answer here is 1/7.
Probability = (sum(k)/7)/sumk)