# Isn't $$100000$$ such a huge number (Part-7)?

$$100$$ identical coins each with probability $$P$$ of coming Heads are tossed simultaneously. If $$0<P<1$$ and the probability of Heads coming on $$50$$ coins is equal to that of Heads coming on $$51$$ coins, then the value of $$P$$ can be expressed as $$\dfrac{a}{b}$$.

Find the value of $$100000\times(a+b)$$.

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