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I'm trying to solve the following problem:

Let's say I'm tossing a coin N$N$ times. The coin is not fair, such that the probability for heads is p0$p_0$ and for tails is 1-p0$1-p_0$.

What is the probability to have a streak of M$M$ heads?

I would be most thankful if anyone can help me find a solution to this problem. I could also use the solution for the case when the coin is fair, or for a streak of at least M$M$, and not exactly M$M$.

Thanks!

I'm trying to solve the following problem:

Let's say I'm tossing a coin N times. The coin is not fair, such that the probability for heads is p0 and for tails is 1-p0.

What is the probability to have a streak of M heads?

I would be most thankful if anyone can help me find a solution to this problem. I could also use the solution for the case when the coin is fair, or for a streak of at least M, and not exactly M.

Thanks!

I'm trying to solve the following problem:

Let's say I'm tossing a coin $N$ times. The coin is not fair, such that the probability for heads is $p_0$ and for tails is $1-p_0$.

What is the probability to have a streak of $M$ heads?

I would be most thankful if anyone can help me find a solution to this problem. I could also use the solution for the case when the coin is fair, or for a streak of at least $M$, and not exactly $M$.

Thanks!

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The probability for a streak when tossing a coin

I'm trying to solve the following problem:

Let's say I'm tossing a coin N times. The coin is not fair, such that the probability for heads is p0 and for tails is 1-p0.

What is the probability to have a streak of M heads?

I would be most thankful if anyone can help me find a solution to this problem. I could also use the solution for the case when the coin is fair, or for a streak of at least M, and not exactly M.

Thanks!