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!!!
Use the binomial theorem. k out of n with probability p of success on one roll (q=1-p), is p^{k}q^{(n-k)}n!/{k!(n-k)!}. Your example: n = 6, k = 3, p = 1/6.
http://en.wikipedia.org/wiki/Binomial_distribution Start here. Google "binomial distribution" to get more links.
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?