An experiment with two mutually exclusive and exhaustive outcomes (heads/tails,
success/failure, etc.) is performed a certain number of times, say
n. The experimental trials are
independent. The probability of success on each trial is a fixed value
p (hence the probability of
failure is a fixed value q = 1 - p). What is the probability
that k of the trials are successes? The
answer is given by binomial probabilities. Change p, below,
to another value between 0 and 1
and observe the changing probabilities. You can also change the NumberOfTrials
as well as the
values of k. Scroll down to see the probability histogram.