Empirical Expected Value Simulation | Dataford Interview Questions

Write a Python script to simulate a complex probability game and calculate the expected value empirically.

Simulate independent rounds using three fair six-sided dice. A triple pays 20 points, a non-triple with a sum of 10 pays 8 points, a sum of 7 pays 5 points, and every other round pays -2 points. Accept rounds and seed, use the seed for reproducibility, and return the average payout rounded to six decimal places. Implement def simulate_game(rounds, seed):.

Constraints

0 <= rounds <= 10000
seed is an integer
Each simulated round uses exactly three six-sided dice
Return the result rounded to six decimal places

Function Signature

def simulate_game(rounds, seed):

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Problem

Write a Python script to simulate a complex probability game and calculate the expected value empirically.

Constraints

0 <= rounds <= 10000
seed is an integer
Each simulated round uses exactly three six-sided dice
Return the result rounded to six decimal places

Function Signature

def simulate_game(rounds, seed):

Your question is Empirical Expected Value Simulation. Start with the requirements in the Question tab.

Run and submit as often as you like. When you're ready, talk me through your approach or go straight to the code.