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A coin that comes up heads with probability p is flipped n consecutive times. What is...

A coin that comes up heads with probability p is flipped n consecutive times.
What is the probability that starting with the first flip there are always more heads
than tails that have appeared?
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Answer #1

A coin that comes up heads with probability p is flipped n consecutive times.

To calculate : the probability that starting with the first flip there are always more heads than tails that have appeared.

Now,

Let X be the number of heads observed in n flips.

number of heads more than tails is X >= n + 1

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