Paired dice simulation

Similar to the example in the lesson, you will roll two dice from two bags, and each bag contains three biased dice.

bag1 = [[1, 2, 3, 6, 6, 6], [1, 2, 3, 4, 4, 6], [1, 2, 3, 3, 3, 5]]
bag2 = [[2, 2, 3, 4, 5, 6], [3, 3, 3, 4, 4, 5], [1, 1, 2, 4, 5, 5]]

The difference is that the dice in the two bags are paired: if you pick the second die in bag1, you will also pick the second die in bag2. In each trial:

You pick one pair of dice from the two bags randomly and roll them
Success occurs if the points on dice1 and dice2 add up to eight; otherwise, failure

Your task is to complete the for-loop in the roll_paired_biased_dice() function and to use this function to calculate the probabilities of success for each unique combination of points on dice1 and dice2.

The following have been imported for you: random, numpy as np, pandas as pd, seaborn as sns and matplotlib.pyplot as plt.

Use random.randint() to obtain the dice indices (each a number from 0 to 5).
Use bag_index followed by the correct dice_index to sample a pair of dice from bag1 and bag2.

Exercise

Paired dice simulation

Instructions 1/2