[Herbert Solomon] Geometric Probability (CBMS-NSF (BookFi.org)
Geometric Probability M217 - Geometry. Refresh… Probability - The chance that an event will occur...
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Transcript of Geometric Probability M217 - Geometry. Refresh… Probability - The chance that an event will occur...
![Page 1: Geometric Probability M217 - Geometry. Refresh… Probability - The chance that an event will occur (a # between 0 and 1). Geometric Probability – Probability.](https://reader036.fdocuments.in/reader036/viewer/2022083007/56649e605503460f94b5baff/html5/thumbnails/1.jpg)
Geometric Probability
M217 - Geometry
![Page 2: Geometric Probability M217 - Geometry. Refresh… Probability - The chance that an event will occur (a # between 0 and 1). Geometric Probability – Probability.](https://reader036.fdocuments.in/reader036/viewer/2022083007/56649e605503460f94b5baff/html5/thumbnails/2.jpg)
Refresh…Probability - The chance that an event
will occur (a # between 0 and 1).
Geometric Probability – Probability involving geometric measures, such as length or area.
![Page 3: Geometric Probability M217 - Geometry. Refresh… Probability - The chance that an event will occur (a # between 0 and 1). Geometric Probability – Probability.](https://reader036.fdocuments.in/reader036/viewer/2022083007/56649e605503460f94b5baff/html5/thumbnails/3.jpg)
Probability and Length
P(point K is on ) = CDLength of
Length of CD
AB
A C D B
![Page 4: Geometric Probability M217 - Geometry. Refresh… Probability - The chance that an event will occur (a # between 0 and 1). Geometric Probability – Probability.](https://reader036.fdocuments.in/reader036/viewer/2022083007/56649e605503460f94b5baff/html5/thumbnails/4.jpg)
Probability and Area
P(point K is in region M) =Area of M
Area of J
J
M
![Page 5: Geometric Probability M217 - Geometry. Refresh… Probability - The chance that an event will occur (a # between 0 and 1). Geometric Probability – Probability.](https://reader036.fdocuments.in/reader036/viewer/2022083007/56649e605503460f94b5baff/html5/thumbnails/5.jpg)
Example
0 1 2 3 4 5 6 7 8 9 10 11 12
F R E M D
Find the probability that a point K, selected randomly on , is on the given segment.
1. 2.
3. 4.
FD
FR
ER
RM
DF
![Page 6: Geometric Probability M217 - Geometry. Refresh… Probability - The chance that an event will occur (a # between 0 and 1). Geometric Probability – Probability.](https://reader036.fdocuments.in/reader036/viewer/2022083007/56649e605503460f94b5baff/html5/thumbnails/6.jpg)
Example
Find the probability that a randomly chosen point in the figure lies in the
shaded region.
10
4
14
8
![Page 7: Geometric Probability M217 - Geometry. Refresh… Probability - The chance that an event will occur (a # between 0 and 1). Geometric Probability – Probability.](https://reader036.fdocuments.in/reader036/viewer/2022083007/56649e605503460f94b5baff/html5/thumbnails/7.jpg)
Example
Find the probability that a randomly chosen point in the figure lies in the
shaded region.
12
12
![Page 8: Geometric Probability M217 - Geometry. Refresh… Probability - The chance that an event will occur (a # between 0 and 1). Geometric Probability – Probability.](https://reader036.fdocuments.in/reader036/viewer/2022083007/56649e605503460f94b5baff/html5/thumbnails/8.jpg)
Time problems
If you knew there was going to be a fire drill at some point during our school day, what is the
probability that it happens before 3rd hour?
School Day: 7:30 AM – 2:45 PM
3rd hour begins @ 9:20 AM
![Page 9: Geometric Probability M217 - Geometry. Refresh… Probability - The chance that an event will occur (a # between 0 and 1). Geometric Probability – Probability.](https://reader036.fdocuments.in/reader036/viewer/2022083007/56649e605503460f94b5baff/html5/thumbnails/9.jpg)
Homework
WS 11.6A and 11.6B