Bernoulli Trials
An experiment in
which a single action, such as flipping a coin, is repeated identically
over and over. The
possible results of the action are classified as "success" or "failure".
The binomial probability
formula is used to find probabilities for
Bernoulli trials.
Note: With Bernoulli trials, the repeated actions
must all be independent.
Binomial
Probability Formula:
n = number of trials
k = number of successes
n – k = number of failures
p = probability of success in one trial
q = 1 – p = probability of
failure in one trial

Example: 
You are taking a 10 question
multiple choice test. If each question has four choices and
you guess on each question, what is the probability of getting
exactly 7 questions correct?
n = 10
k = 7
n – k = 3
p = 0.25 = probability of guessing the correct
answer on a question
q = 0.75 = probability of guessing the
wrong answer on a question

See
also
Binomial coefficients
