Hello,
I have a question on draw probability.
It's not a homework question but for satisfy my curiosity, to know how to solve a probability calculation of duplicates i couldn't find it.
And know if I'm unlucky or if I'm really really unlucky
In this draw, I have 101 possibilities (0 to 100)
Each draw is independent, the number drawn is putted back into the draw.
I started the draw 50 times.
I only got 40 different numbers. I got 6 duplicates, and 2 triplets. And one time i got the same number two times in a row.
And I wondered if that made a lot of duplicates or not in this random generation of only 50 draws.
I know how to calculate the expectation to get the right number with X draw. ( = 1 - (1 -1/101)^X )
But I dont know how to evaluate the probabilities to get duplicates and triples (quadruplet, ...) in my draws.
Is it easy to calculate and do you have the probability to get only 40 differents results in 50 draws ?
The probabilities to get 6 duplicates or 1 duplicates consecutively or 2 triplets and probabilities like that ?
Thanks
I have a question on draw probability.
It's not a homework question but for satisfy my curiosity, to know how to solve a probability calculation of duplicates i couldn't find it.
And know if I'm unlucky or if I'm really really unlucky
In this draw, I have 101 possibilities (0 to 100)
Each draw is independent, the number drawn is putted back into the draw.
I started the draw 50 times.
I only got 40 different numbers. I got 6 duplicates, and 2 triplets. And one time i got the same number two times in a row.
And I wondered if that made a lot of duplicates or not in this random generation of only 50 draws.
I know how to calculate the expectation to get the right number with X draw. ( = 1 - (1 -1/101)^X )
But I dont know how to evaluate the probabilities to get duplicates and triples (quadruplet, ...) in my draws.
Is it easy to calculate and do you have the probability to get only 40 differents results in 50 draws ?
The probabilities to get 6 duplicates or 1 duplicates consecutively or 2 triplets and probabilities like that ?
Thanks