C++ 程序三个随机选取的数字构成等差数列的概率
我们有数字数组n,任务是求出三个随机选取的数字构成等差数列的概率。
示例
Input-: arr[] = { 2,3,4,7,1,2,3 }
Output-: Probability of three random numbers being in A.P is: 0.107692
Input-:arr[] = { 1, 2, 3, 4, 5 }
Output-: Probability of three random numbers being in A.P is: 0.151515以下程序中使用的方法如下 −
- 输入正整数数组
- 计算数组大小
应用以下公式来求三个随机数字构成等差数列的概率
3 n / (4 (n * n) – 1)
- 输出结果
算法
Start
Step 1-> function to calculate the probability of three random numbers be in AP
double probab(int n)
return (3.0 * n) / (4.0 * (n * n) - 1)
Step 2->In main()
declare an array of elements as int arr[] = { 2,3,4,7,1,2,3 }
calculate size of an array as int size = sizeof(arr)/sizeof(arr[0])
call the function to calculate probability as probab(size)
Stop示例
#include <bits/stdc++.h>
using namespace std;
//calculate probability of three random numbers be in AP
double probab(int n) {
return (3.0 * n) / (4.0 * (n * n) - 1);
}
int main() {
int arr[] = { 2,3,4,7,1,2,3 };
int size = sizeof(arr)/sizeof(arr[0]);
cout<<"probability of three random numbers being in A.P is : "<<probab(size);
return 0;
}输出
Probability of three random numbers being in A.P is: 0.107692
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