std::binomial_distribution - cppreference.com

From cppreference.com

template<classIntType=int>classbinomial_distribution;(since C++11)Produces random non-negative integer values i, distributed according to discrete probability function:

P(i|t,p) =⎛

⎝t
i⎞

⎠ · pi
· (1 − p)t−i
The value obtained is the number of successes in a sequence of t yes/no experiments, each of which succeeds with probability p.

std::binomial_distribution satisfies

RandomNumberDistribution

.

Template parameters

IntType - The result type generated by the generator. The effect is undefined if this is not one of short, int, long, longlong, unsignedshort, unsignedint, unsignedlong, or unsignedlonglong. Member types

Member type Definition result_type(C++11)IntTypeparam_typethe type of the parameter set, see

RandomNumberDistribution

. Member functions

(constructor)

constructs new distribution
(public member function)

[edit]

reset

resets the internal state of the distribution
(public member function)

[edit]

Generation

operator()

generates the next random number in the distribution
(public member function)

[edit]

Characteristics

pt

returns the distribution parameters
(public member function)

[edit]

param

gets or sets the distribution parameter object
(public member function)

[edit]

min

returns the minimum potentially generated value
(public member function)

[edit]

max

returns the maximum potentially generated value
(public member function)

[edit]

Non-member functions

Example

Plot of binomial distribution with probability of success of each trial exactly 0.5, illustrating the relationship with the pascal triangle (the probabilities that none, 1, 2, 3, or all four of the 4 trials will be successful in this case are 1:4:6:4:1).

Run this code

#include<iomanip>#include<iostream>#include<map>#include<random>#include<string>intmain(){std::random_devicerd;std::mt19937gen(rd());// perform 4 trials, each succeeds 1 in 2 timesstd::binomial_distribution<>d(4,0.5);std::map<int,int>hist;for(intn=0;n!=10000;++n)++hist[d(gen)];for(autoconst&[x,y]:hist)std::cout<<x<<' '<<std::string(y/100,'*')<<'\n';}Possible output:

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