Question

Using your programming language of choice, write a program that will ask for:

• Probability of A
• Probability of B
• Probability of B given A

and will then output the probability of A given B using Bayes Theorem. You can prompt for input anyway you like (command line, GUI, website, etc), and return the result any way you like (command line, GUI, website, etc).

Answer 1

//For any queries, feel free to comment.

The following code is in C++.

Applying formula is:

**CODE**

#include <iostream>
using namespace std;

int main()
{
    double prob_a,prob_b;
    double prob_b_given_a,prob_a_given_b;
  
    //Taking all inputs from the user
    cout<<"Enter probability of A: ";
    cin>>prob_a;
  
    cout<<"Enter probability of B: ";
    cin>>prob_b;
  
    cout<<"Enter probability of B given A: ";
    cin>>prob_b_given_a;
  
    //Applying Bayes' theorem
    prob_a_given_b = prob_b_given_a * prob_a;
    prob_a_given_b /= prob_b;
  
    cout<<"Probability of A given B: "<<prob_a_given_b;
  
    return 0;
}

**SCREENSHOTS**