Write a program to simulate the game with 10,000 trials and show that the chance of winning converges to 66.67% if the player chose to switch, every time. The simulation code should carry out every step of the game: a. Place, randomly, the two goats and the car behind three doors; b. Contestant picks the door; c. The host opens one door with a goat behind; d. The contestant switches to the other closed door; e. Determine if contestant wins or loses; f. Record the number of winners; g. Output the ratio - empirical probability. You shouldn't use the findings in the first approach above to just compute the mathematical results.