If the outcome of a measurement (trial) is either
success or failure and the probability of success (true) or failure
(false) does not change from
one trial to the next (independent trials), then the probability of
repeated trials is given
by the Binomial Distribution.

where
p is the probability of observing a
particular outcome (success) and P(r) is the probability of observing r
successes in n tries.

To
explore some examples of the binomial distribution, click on one of the following: