A binomial experiment (also known as a Bernoulli trial) is a statistical experiment that has the following properties:
• The experiment consists of n repeated trials. • Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure.
• x: The number of successes that result from the binomial experiment. • n: The number of trials in the binomial experiment.
• The probability of success, denoted by P, is the same on every trial.
• p: The probability of success on an individual trial.
• The trials are independent; that is, the outcome on one trial does not affect the outcome on other trials.
• q: The probability of failure on an individual trial. (This is equal to 1 ‐ p)
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Example 1 Suppose a die is tossed 5 times. What is the probability of getting 2 fives?
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Ten percent of the population is left handed. If you ask a group of 8 people, what is the probability that at least 1 will be left handed?
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