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App that counts probabilities in c++

by Hepic
Tags: counts, probabilities
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Hepic
#1
Jan8-14, 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!!!
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mathman
#2
Jan8-14, 04:27 PM
Sci Advisor
P: 6,077
Use the binomial theorem.
k out of n with probability p of success on one roll (q=1-p), is pkq(n-k)n!/{k!(n-k)!}.
Your example: n = 6, k = 3, p = 1/6.
Hepic
#3
Jan9-14, 06:45 AM
P: 113
Can you explain more because I hear about that first time?

Or you could send me a tutorial??

mathman
#4
Jan9-14, 03:21 PM
Sci Advisor
P: 6,077
App that counts probabilities in c++

http://en.wikipedia.org/wiki/Binomial_distribution

Start here. Google "binomial distribution" to get more links.
Hepic
#5
Jan9-14, 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?
Nugatory
#6
Jan9-14, 04:08 PM
Sci Advisor
Thanks
P: 3,757
Quote Quote by Hepic View Post
Yea,I found an intersting site called "Math is fun",and I undestood it,but how I can count probabilities with that?
For the example in your original post:

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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