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Python random.binomialvariate() Method

The random.binomialvariate() method in Python used to generates a random number that follows a binomial distribution. This method returns the number of successes in n independent trials, given that each trial has a probability p of success.

The equivalent mathematical expression of this random.binomialvariate() method is as follows −

sum(random() < p for i in range(n))

The number of trials n must be a non-negative integer, and p must be a probability value between 0 and 1 (inclusive). These ensure that the generated random variable conforms to the properties of a binomial distribution and the resultant integer must be in the range 0 <= X <= n.

This method was introduced in Python version 3.12. If your Python version is earlier than 3.12, and you are attempting to use this method, it will raise an AttributeError: module 'random' has no attribute 'binomialvariate'.

Following is the syntax of the random.binomialvariate() method −

random.binomialvariate(n=1, p=0.5)

This method accepts the following parameter −

• n: This parameter represents the number of independent trials or experiments. It must be a non-negative integer.

• p: This is the probability of success on each trial. It must be a value between 0.0 and 1.0, inclusive.

This method returns an integer that represents the number of successes in the n trials.

Following is a basic example of the random.binomialvariate() method −

import random

# number of trials
n = 10  
# probability of success in each trial
p = 0.5  

# Generate a random value following a binomial distribution
number_of_successes = random.binomialvariate(n, p)
print("Number of successes: ",number_of_successes)

Following is the output −

Number of successes:  4

Note: The Output generated will be different for every execution as it returns a random item.

Following is an example to generate the random numbers from a binomial distribution.

import random

ATOMS = 1000000
DECAY_PROB = 0.1

for i in range(10):
    print(random.binomialvariate(ATOMS, DECAY_PROB))

While executing the above code you will get the similar output like below −

99424
99757
99791
100213
99970
99557
100113
100077
100354
100256

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