Shelly delivers the weekly local paper to neighborhoods in her town. House numbers are even on one side of the street and odd on the other. Shelly delivers an equal number of papers to both sides of the street. Although she always aims for the front doorstep, Shelly typically misses on three of the tosses on her route each week. Design and conduct a simulation to estimate the probability that next week, Shelly's three misses will all be at odd-numbered houses.
Hint: You can set up the experiment using 3 coins to collect the data. Allow one side of the coin to represent Heads (evens) and one other side to represent Tails (odds).
a) Explain clearly your design of the simulation, including choice of probability tool and description of a single trial.
b) Conduct the simulation with twenty trials and record the results.
c) Calculate the experimental probability that all 3 of Shelly's missed papers will be at odd-numbered houses.