A bag contains 7 **black** balls and an unknown number, not greater than **seven**, of **white** balls. The number of white balls range from 0 to 7, with equal probability.

Now, **four** balls are drawn successively **without replacement** and are all found to be **white**. What is the chance that a **black** ball will be drawn next ?

**How To Answer**

- Answer as \(p+q\) if your answer comes out to be of the form \(\frac{p}{q}\), where \(gcd(p,q) = 1\).

**Note**

- This problem is a part of the set 1+2=3

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