ChatGPT suggestion for implementation for finding a fixed number of rare events in a fixed number of trials

ChatGPT's Dynamic Probability Adjustment with Conditional Probabilities.js

function dynamicProbabilityDistribution(totalTrials, totalRareEvents) {
    // Initialize remaining counts of trials and rare events
    let remainingTrials = totalTrials;
    let remainingRareEvents = totalRareEvents;
    
    // Array to store the result of each trial
    const results = Array(totalTrials).fill("common");

    // Loop over each trial
    for (let i = 0; i < totalTrials; i++) {
        // Calculate the probability of a rare event for the current trial
        const probabilityOfRare = 1 - (1 - remainingRareEvents / remainingTrials);

        // Randomly determine if the current trial yields a rare item
        if (Math.random() < probabilityOfRare) {
            results[i] = "rare";
            remainingRareEvents--;  // Decrease rare event count if one is found
        }

        // Decrease the number of remaining trials
        remainingTrials--;

        // Stop early if all rare events have been distributed
        if (remainingRareEvents === 0) {
            break;
        }
    }

    // If any rare events remain undrawn by the last few trials,
    // fill those in the remaining trials to ensure all rare events are distributed
    let j = totalTrials - 1;
    while (remainingRareEvents > 0) {
        if (results[j] === "common") {
            results[j] = "rare";
            remainingRareEvents--;
        }
        j--;
    }

    return results;
}

// Example usage
const totalTrials = 10000;
const totalRareEvents = 100;
const results = dynamicProbabilityDistribution(totalTrials, totalRareEvents);

console.log(results);