Consecutive Tails

Let \(A_n\) be the event that in \(n\) flips of a fair coin, there are never 2 consecutive tails. Suppose we know the following probabilities.

  1. \(\mathbf{P}(A_{19})\approx 0.021\)
  2. \(\mathbf{P}(A_{20})\approx 0.017\)

Evaluate \(\mathbf{P}(A_{21})\)

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