\(|t-h|\) is prime

Discrete Mathematics Level 3

A fair coin is flipped 10 times. What is the probability that the difference between the number of heads and the number of tails is a prime number?

For example, if \(h\) is the number of heads and \(t\) is the number of tails, \(\left | h-t \right |\) is a prime number.

Give your answer to three decimal places.

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