Editing Rule of succession (section)

==Statement of the rule of succession==
If we repeat an experiment that we know can result in a success or failure, ''n'' times independently, and get ''s'' successes, and ''n − s'' failures, then what is the probability that the next repetition will succeed?

More abstractly: If ''X''<sub>1</sub>, ..., ''X''<sub>''n''+1</sub> are [[conditional independence|conditionally independent]] [[random variable]]s that each can assume the value 0 or 1, then, if we know nothing more about them,

:<math>P(X_{n+1}=1 \mid X_1+\cdots+X_n=s)={s+1 \over n+2}.</math>