What are the chances of getting heads 10 times in a row in a coin toss?

The probability of 10 heads after flipping a fair coin fairly, 10 times = 1 / (2^10) = 1/1024 =.0009765625 ~ 0.1% and such an outcome suggests the coin may be skewed in favor of heads. If this particular coin is fair though, the probability of tossing a head after tossing 10 heads in a row remains = 1/2, the same as for a tail.