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7. Write a Python script which estimates the probability that when rolling a pair of standard, 6-sided dice, the outcome is that both dice individually have a face value less than some integer k. Your code should print the estimated probability for every integer k satisfying 1 ≤ k ≤ 6. For k= 3, the exact (theoretical) result is 0.111. Exact results differ for other integers k satisfying 1 ≤ k ≤ 6. 36

7. Write a Python script which estimates the probability that when rolling a pair of standard, 6-sided dice, the outcome is that both dice individually have a face value less than some integer k. Your code should print the estimated probability for every integer k satisfying 1 ≤ k ≤ 6. For k= 3, the exact (theoretical) result is 0.111. Exact results differ for other integers k satisfying 1 ≤ k ≤ 6. 36

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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7. Write a Python script which estimates the probability that when rolling a pair of standard, 6-sided dice, the outcome is that both dice individually have a face value less than some integer k. Your code should print the estimated probability for every integer k satisfying 1 ≤ k ≤ 6. For k = 3, the exact (theoretical) result is 0.111. Exact results differ for other integers k satisfying 1 <k ≤ 6. Hint: estimate the probability by simulating N rolls of a pair of dice. Count how many times both dice are less than k, then divide this count by the total number of rolls. For a large value of simulated rolls (eg: N = 106), this ratio should be very close to the exact result.
Transcribed Image Text:7. Write a Python script which estimates the probability that when rolling a pair of standard, 6-sided dice, the outcome is that both dice individually have a face value less than some integer k. Your code should print the estimated probability for every integer k satisfying 1 ≤ k ≤ 6. For k = 3, the exact (theoretical) result is 0.111. Exact results differ for other integers k satisfying 1 <k ≤ 6. Hint: estimate the probability by simulating N rolls of a pair of dice. Count how many times both dice are less than k, then divide this count by the total number of rolls. For a large value of simulated rolls (eg: N = 106), this ratio should be very close to the exact result.
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