Interview Query

All Tails Consecutive

Have you seen this question before?

Let’s say you flip a fair coin 10 times.

What is the probability that you only get three tails, but, all the tails happen consecutively?

An example of this happening would be if the flips were HHHHTTTHHH.

Bonus: What would the probability of getting only t tails in n coin flips (tn), requiring that the tails all happen consecutively?

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