Get out!
I am trying to throw a crushed small piece of paper through an open window which measures 45 cm x 100 cm. The window is reinforced with 10 equally spaced cuboid metal bars horizontally each measuring 45 cm x 2 cm (Third dimension of the bar is negotiated). What is the probability that my crushed piece of paper will get out! through the window without hitting the bars?
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1 solution
Here the probability is calculated based on the area!
Probability that my paper will get out = Total exposed open area available / Total area of the window
Total exposed open area available = Total area of the window - Total area hindered due to the rods
Total area of window = 45 x 100 = 4500 cm^2 Total area hindered due to the rods = 45 x 2 x (10 rods) = 900 cm^2
Now, Total exposed open area available = 4500 - 900 = 3600 cm^2
Finally, Probability that my paper will get out = 3600/4500 = 0.8