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App that counts probabilities in c++ 
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#1
Jan814, 03:45 PM

P: 113

Hey,I am making an app that counts probabilities in c++(win32){for those who knows}.
I have found three formulas of equation,but I need some help for one. For example we have a die,and we hit it 6 times. Can we count with an formula,the probabilities to have the number "5",three times exactly?(no less,no more) Thanks!!! 


#2
Jan814, 04:27 PM

Sci Advisor
P: 6,068

Use the binomial theorem.
k out of n with probability p of success on one roll (q=1p), is p^{k}q^{(nk)}n!/{k!(nk)!}. Your example: n = 6, k = 3, p = 1/6. 


#3
Jan914, 06:45 AM

P: 113

Can you explain more because I hear about that first time?
Or you could send me a tutorial?? 


#4
Jan914, 03:21 PM

Sci Advisor
P: 6,068

App that counts probabilities in c++
http://en.wikipedia.org/wiki/Binomial_distribution
Start here. Google "binomial distribution" to get more links. 


#5
Jan914, 03:30 PM

P: 113

Yea,I found an intersting site called "Math is fun",and I undestood it,but how I can count probabilities with that?



#6
Jan914, 04:08 PM

Sci Advisor
Thanks
P: 3,729

You cast the die six times, so there are ##6^6## equally likely sequences of results. Because they are equally likely, the probability of getting any given sequence is one in ##6^6##. How many of these sequences include exactly three fives? 


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