Probability: Binomial Distribution

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In essence, Binomial events are a sequence of identical Bernoulli events. Before we get into the difference and similarities between these two distributions, let us examine the proper notation for a Binomial Distribution. We use the letter “B” to express a Binomial distribution, followed by the number of trials and the probability of success in each one. Therefore, we read the following statement as “Variable “X” follows a Binomial distribution with 10 trials and a likelihood
of success of 0.6 on each individual trial”. Additionally, we can express a Bernoulli distribution
as a Binomial distribution with a single trial. Alright! To better understand the differences between
the two types of events, suppose the following scenario. You go to class and your professor gives the class a surprise pop-quiz, which you have not prepared for. Luckily for you, the quiz consists of 10 true or false problems. In this case, guessing a single true or false question is a Bernoulli event, but guessing the entire quiz is a Binomial Event.

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