Python program that simulates playing a game where a US penny (radius of 3/8 inches) is...

Python program that simulates playing a game where a US penny (radius of 3/8 inches) is tossed into a board with a 1-inch by 1-inch square. The player wins only if the penny lands entirely within the square. Estimate the probability of winning by repeating the game 1,000 times. Record the estimate of the winning chance as a comment. Also, find the winning probability.

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Expert Solution

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from random import *
rad = 3/8
wins = 0
for i in range(10000):
    x = random()  # Generating Random Coordinates for Centre of circle
    y = random()
    # Checking Weather The perimeter of circle   wins+=1 #is inside the square or not
    if x+rad < 1 and x-rad > 0 and y+rad < 1 and y-rad > 0:
        wins += 1

probability = wins/10000  # Calculating the Probability by Given Forumula
print("The Probability is:", probability)

venereology answered 8 months ago

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