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So a friend of mine has been predicting the outcome of social events and I have been recording the accuracy of his predictions as true if he accurately predicted the outcome or false if he was incorrect. The results of his predictions I have tabulated in the two attached files thus:

Binary.txt are the true/false status of his prediction in chronological order.

Incorrect.txt is a processed version of the Binary.txt where the values represent the number of incorrect predictions before he is correct again.

His mean accuracy is about 26.7% or about 1 in 3.74 predictions being correct.

So I was wondering if there is a way to calculate the probability of his next prediction being correct given what we know about he success rate and the amount of jitter is the sequence. Inasmuch as he sometime gets the next prediction correct or has gone as many as fourteen incorrect predictions.

Many thanks IMK

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# Probability of next prediction being correct

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