There is a magician who can read minds.

He asks a person to think of a random natural number.

There is a box in which he puts his prediction.

He has 30 assistants out of which 7 can read minds perfectly and 8 can do it such that the sum of all their numbers is equal to the prediction. The remaining assistants are beginners and just guess such that out of the remaining 15 people, only one guesses correctly and one of them doesn't predict at all.

All the predictions are fully mixed up and a random person picks up a prediction.

Considering that the person cant change his mind and the magician and his assistants are highly logical, what is the probability that the prediction is true?

Note:- the predictions cant be negative numbers.

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