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# 8-4 - 8-4 Bernoulli Trials Binomial Distribution Experiment...

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8-4 Bernoulli Trials, Binomial Distribution Experiment: flip a coin two possible outcomes, pick one. e.g. H call it a success S T is then a failure F P(S) is denoted by p (= ½), P(F) is denoted by q (= ½) Bernoulli trial: an experiment with only two possible outcomes success S and failure F p is used for P(S), q is used for P(F) of course, p + q = 1 R EPEATED B ERNOULLI T RIALS Bernoulli trial: throw a die. S = get a 3, so p = 1/6 we repeat this experiment 5 times Question : what is the probability of getting exactly 2 successes? Analysis: we could get SSFFF, or SFSFF, etc. etc. the 2 S’s could fall in any 2 out of the five places so there are C 5,2 = 10 ways to achieve our result the probability of any one of those 10 ways is:

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