Geometry Chapter 11 - Measuring Length and Area Section 11.7 - Use Geometric Probability jlister, F107 What the student should get from this: !" Calculate geometric probabilities #" Use geometric probability to predict results in real-world situations Example: the rectangle represents the DZ (drop zone) for a platoon of paratroops. The circle represents a small wooded area. All things being equal, what is the chance that any one paratroop will land in the trees? Some of the aircraft I have parachuted from... C-130 C-141 C-123 UH-1 Trees - bad news for parachutists! 575 meters 99 meters 50 m
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GeometryChapter 11 - Measuring Length and AreaSection 11.7 - Use Geometric Probabilityjlister, F107
What the student should get from this:!" Calculate geometric probabilities#" Use geometric probability to predict results in real-world situations
Example: the rectangle represents the DZ (drop zone)for a platoon of paratroops. The circle representsa small wooded area. All things being equal, whatis the chance that any one paratroop will land inthe trees?
Example: The irregular shape represents the ground floor of the Austin Convention Center. Only a portion of the floor will be carpeted. If the vendors are placed at random throughout the floor, what is the chance that any one vendor will be on the carpet?
Solve for the area of the sectors and length of arcs. Then determine the probability of the arrow landing in the area of the sector if the arrow is spun.
CarpetCarpet
165 yd
45 yd80 yd
50 yd60 yd
50 yd 20 x 30 yd40 yd
70 yd
60 yd
7 cm120˚A
B
14 cm
45˚
A
B
All things being equal, what is the probability of a dart thrower hitting the shaded area with one throw of a dart?
Assignment: p.774 #s 8-10 all, 12-14 all, 16-22 all, p.777 #s 3 and 4. Due next class. One class period late will be 50% off. Beyond that, no credit given. Show work and draw all the pictures.