Perform a Monte Carlo simulation to estimate the probability of hitting each section of a dartboard (shown below) and the long-term average score of the player. Use the Monte Carlo simulation for both values do not simply use probabilities to calculate the estimates. Assume that any dart thrown at the dartboard will hit somewhere on the space. Generate N pairs of random numbers (x,3) and use the equation of a circle (x? + y? = r?) to determine which space a given dart hits. For example, if your pulltenlied e random number is (0.4,0.6). we know that r = v0.4% + 0.62 = 0.721. which equates to a 1 point shot between the blue and red circles. The radius and point value for each section is also shown below. T \\ O\\ = / \\\\ \\ |Circle Color L | Blue = Part A: Determine the probability of hitting each section of the dartboard, to include hitting the section outside of the red circle 1 0.7 L) Green 0.5 0.3 A ot Part B: Determine the long-term average score per shot of a player. Note: Ensure you use a large enough value for N in your simulation use anywhere between 400 and 20,000