# Pascal Command

From GeoGebra Manual

- Pascal( <n>, <p> )
- Returns a bar graph of a Pascal distribution.

The Pascal distribution models the number of failures before the *n*th success in repeated mutually independent Bernoulli trials, each with probability of success *p*.

- Pascal( <n>, <p>, <Boolean Cumulative> )
- Returns a bar graph of a Pascal distribution when
*Cumulative*= false. - Returns a graph of a cumulative Pascal distribution when
*Cumulative*= true. - First two parameters are same as above.

- Pascal( <n>, <p>, <Variable Value>, <Boolean Cumulative> )
- Let X be a Pascal random variable and
*v*the variable value. - Returns P( X =
*v*) when*Cumulative*= false. - Returns P( X ≤
*v*) when*Cumulative*= true. - First two parameters are same as above.
**Note:**This command also works in the CAS View.**Example:**If the number of independent Bernoulli trials that must be successful is n = 1, the probability of success in one trial is p = \frac{1}{6}, then the probability of 2 failures before the success is given by`Pascal(1, 1/6, 2, false)`

which yields*0.12*in the Algebra View and*25/216*in the CAS View.