How Often Would a Biased Coin Show Consecutive Heads in 5000 Flips?

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The discussion centers on calculating the probability of obtaining consecutive heads when flipping a biased coin that lands on heads 80% of the time. Specifically, the user inquires about the likelihood of achieving 20, 10, and 5 consecutive heads in 5,000 flips. The forum emphasizes the importance of showing work in probability calculations and encourages users to review previous responses for guidance.

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R.Clearwater
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I posted this question a couple time and may not have explained right.
There is a lot of mathematically talented people on this site unfortunately i am
not one of them...I would appreciate if someone could please answer this for me.

Imagine there was a coin that was heavier on the heads side on landed on
heads 80% of the time and 20% of the time

If I flipped that coin 5,000 times how many time would i get

20 heads in a row ?

10 heads in a row ?

5 heads in a row ?

Can anyone show me how to calculate this?


Thanks
 
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What are the odds of getting one head? What are the odds of that happening 5 times in a row?

You need to show at least SOME work, otherwise you are just asking us to solve the problem for you and that's not how this forum works. Check the rules on posting homework.
 
You repeated the question. I answered it for the other entry.

I just noticed this is your third attempt - I think you should look at the responses to the others.
 
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