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STATISTICS STATISTICS

07-18-2018 , 09:49 AM
Hello,
I have a doubt.
What is the mathematical formula to arrive at the following conclusion?

In the book "the poker mindset", they state that if you toss a coin 10 times you will have the following distribution:

50%/50% Probability
0 0.1%
1 1%
2 4%
3 12%
4 20%
5 25%
6 20%
7 12%
8 4%
9 1%
10 0.1%

I would like to know it in order to apply it to a 60/40%, 70/30% and 80/20% situation.

Could any body help me?
Thank you
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07-18-2018 , 02:58 PM
This is the binomial distribution. There are binomial calculators on the net. If you have Excel or equivalent you can get it there and probably from Google.

Pr(r successes in n trials if prob success = p) = C(n,r)*p^r * (1-p)^(n-r),

where C(n,r) = number of ways of r successes in n trials
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