Is probability perspective dependent?

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Suppose there be a person 'A' doing coin unbiased coin flips and he gets 4 heads in a row, then the chance of the next being a tail is 97%, which is very very likely. But if person 'B' unaware of 'A' doing an experiment, takes the same coin and flips it, will the probability of him getting a tail or head be 50%?, will it be influenced by the 'A'? Is probability a perspective truth?