Inspired By Nihar Mahajan

Probability Level 4

If a certain user has exactly 700 followers and a problem of his can be liked only by his followers with a chance of 0.5. Find the probability that his problem will get at least 3 likes.

The probability can be expressed as bcabc\dfrac{{b}^{c}-a}{{b}^{c}} where a and b are coprime positive integers with bb prime.

Give your answer as a+b+ca+b+c.


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