Challenge: Simulate and Visualize Dice Roll Probabilities
When you roll two six-sided dice, each die can show a value from 1 to 6, and the sum of both dice can range from 2 (both dice show 1) to 12 (both dice show 6). However, not all sums are equally likely. This is because there are more combinations of dice that add up to some sums than others. For instance, there is only one way to roll a 2 (both dice must show 1), but there are many ways to roll a 7 (such as 1+6, 2+5, 3+4, and so on). Understanding these probability distributions is crucial in many games that use dice and is also a classic example in statistics for illustrating the concept of probability distributions and random events. By simulating and visualizing these rolls, you can see firsthand how probability shapes outcomes in repeated random events.
1234567891011import random # Simulate rolling two six-sided dice 10 times and collect sums sums = [] for _ in range(10): die1 = random.randint(1, 6) die2 = random.randint(1, 6) roll_sum = die1 + die2 sums.append(roll_sum) print("Sums of 10 simulated dice rolls:", sums)
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Write a Python script that simulates rolling two six-sided dice 1,000 times, records the sum of each roll, and plots a histogram of the results. The histogram must be labeled with a title and axis labels. After plotting, analyze which sum occurred the most and which occurred the least, and print these findings. To complete this task, you must:
- Simulate 1,000 rolls of two six-sided dice and store the sum of each roll in a list.
- Analyze the list to determine the most common and least common sums and how many times each occurred.
- Plot a histogram of the sums with appropriate labels and title.
- Print the most common and least common sums with their frequencies.
Solution
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Completion rate improved to 4.76Challenge: Simulate and Visualize Dice Roll Probabilities
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When you roll two six-sided dice, each die can show a value from 1 to 6, and the sum of both dice can range from 2 (both dice show 1) to 12 (both dice show 6). However, not all sums are equally likely. This is because there are more combinations of dice that add up to some sums than others. For instance, there is only one way to roll a 2 (both dice must show 1), but there are many ways to roll a 7 (such as 1+6, 2+5, 3+4, and so on). Understanding these probability distributions is crucial in many games that use dice and is also a classic example in statistics for illustrating the concept of probability distributions and random events. By simulating and visualizing these rolls, you can see firsthand how probability shapes outcomes in repeated random events.
1234567891011import random # Simulate rolling two six-sided dice 10 times and collect sums sums = [] for _ in range(10): die1 = random.randint(1, 6) die2 = random.randint(1, 6) roll_sum = die1 + die2 sums.append(roll_sum) print("Sums of 10 simulated dice rolls:", sums)
Swipe to start coding
Write a Python script that simulates rolling two six-sided dice 1,000 times, records the sum of each roll, and plots a histogram of the results. The histogram must be labeled with a title and axis labels. After plotting, analyze which sum occurred the most and which occurred the least, and print these findings. To complete this task, you must:
- Simulate 1,000 rolls of two six-sided dice and store the sum of each roll in a list.
- Analyze the list to determine the most common and least common sums and how many times each occurred.
- Plot a histogram of the sums with appropriate labels and title.
- Print the most common and least common sums with their frequencies.
Solution
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