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Module 1: Binomial distribution

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The number of successes in a given number of trials

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XSIQ
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Intermediate Mathematics - The number of successes in a given number of
trials

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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