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.
P(k successes in n trials) = \(\left( {\begin{array}{*{20}{c}}n\\k\end{array}} \right){p^k}{q^{n - k}}\) n = number of trials |
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 P(7 correct guesses in 10 questions) = \(\left( {\begin{array}{*{20}{c}}{10}\\7\end{array}} \right){\left( {0.25} \right)^7}{\left( {0.75} \right)^3} \approx 0.0031\) |
See also
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