Bernoulli Distribution

The Bernoulli Distribution is a Probability Mass Function that models a binary outcome for a single trial such as:

Example

• A coin toss (heads or tails)
• The outcome of a race (won or lost).
• The next die rolling a $6$ (6 or another number)

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Formula:

$Bern(x)=p^x(1-p{)}^{1-x}$ Where:

• $n$: number of trials
• $k$: number of successes
• $p$: probability of success
• $\left(\genfrac{}{}{0ex}{}{n}{k}\right)$ the number of ways to obtain $k$ successes in $n$ trials