itr_multi_q.py

import math

def itr(n, q, v, t):
    # Calculate the probability of each choice being selected (assuming equally likely)
    p_choice = 1 / q
    
    # Calculate the entropy for each question's choices
    entropy_per_question = -p_choice * math.log2(p_choice) * q
    
    # Calculate the total entropy across all questions
    total_entropy = n * entropy_per_question
    
    # Calculate the average entropy
    average_entropy = total_entropy / n
    
    # Calculate the information transfer rate (ITR)
    itr_value = (v / t) * average_entropy
    
    return itr_value

# Example usage
n = 10  # Number of questions
q = 4   # Number of choices per question
v = 8   # Number of correct answers
t = 5   # Time taken in seconds

itr_result = itr(n, q, v, t)
print(f"Information Transfer Rate: {itr_result:.2f} bits per second")