#include<iostream>                                                                                                                   
#include<random>
#include<chrono>
 
int main(){
    const unsigned MAX_RESULTS = 1000000;
    const unsigned LIMIT = 300;
    int buckets[30]={0};
 
    unsigned seed = std::chrono::system_clock::now().time_since_epoch().count();
    std::mt19937 die(seed);
    unsigned n_results = 0;
    while(n_results<MAX_RESULTS){
        unsigned sum = 0;
        while( (sum+=(1+die()%30))<LIMIT);
        buckets[sum-LIMIT]++;
        n_results++;
    }
 
    for(unsigned i = 0; i<30; i++){
        std::cout<<LIMIT+i<<":\t"<< buckets[i]*30.0/MAX_RESULTS << std::endl;
    }
    return 0;
}
 

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