Intermediate Mathematics - The number of successes in a given number of
The number of successes in a given number of trials
Note: In our discussion of roulette we ignore one possible result: that
the ball could land on green (zero)
A sequence of trials, or experiments, each of which has only two possible
outcomes is known as a sequence of Bernoulli trials. The two outcomes of a
Bernoulli trial are often denoted 'success' and 'failure'.
In each trial, we have:
Pr(success) = p; and
Pr(failure) = 1 - p.
One roll of a Roulette wheel is a Bernoulli trial, where landing on red is
a success and landing on green or black is a failure.
In a coin tossing game with one toss of a coin getting 'a head' might be a
success and getting 'a tail' or 'not getting a head' is a failure. A coin
tossing game is therefore a Bernoulli trial.
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