Probability of 10 heads consecutive in 100 coin tosses

[David10]

Hi all

It's a while since I studied statistics and I am very rusty.

Would anybody be able to assist with my problem please?

I would like to know the formula for something similar to the following:

Coin toss 50:50

What is the probability of 10 consecutive heads (or tails) in a sample of 100 coin tosses?

Example exercise:

Toss a coin 100 times
Do this exercise 100 times
What is the probability that I get 10 heads consecutively within the 100 coin toss exercise?

If you have the formula and explanation of the inputs that would be great.

Much appreciated.

Dave

 

[Cubist]

Take a look at this link:-

https://math.stackexchange.com/ques...a-fair-coin-with-at-least-k-consecutive-heads

the following link might be easier to understand, since it has a worked example with fewer coins:-

https://math.stackexchange.com/ques...lity-of-4-consecutive-heads-in-10-coin-tosses

 

[Steven G]

David,
On this forum we do not solve problems for posters. Instead we expect the poster to solve their own problem with our help.

So please post back showing ideas you have. Thanks.

 

[David10]

Take a look at this link:-

https://math.stackexchange.com/ques...a-fair-coin-with-at-least-k-consecutive-heads

the following link might be easier to understand, since it has a worked example with fewer coins:-

https://math.stackexchange.com/ques...lity-of-4-consecutive-heads-in-10-coin-tosses

Thank you for your help.

 

[David10]

David,
On this forum we do not solve problems for posters. Instead we expect the poster to solve their own problem with our help.

So please post back showing ideas you have. Thanks.

Ok, thank you for letting me know.