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Geometric Probability. M217 - Geometry. 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. Probability and Length. P(point K is on ) = . Length of. Length of.

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Geometric probability

Geometric Probability

M217 - Geometry


Refresh
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.


Probability and length
Probability and Length

P(point K is on ) =

Length of

Length of

A

C

D

B


Area of M

P(point K is in region M) =

Area of J

Probability and Area

J

M


Example
Example

F R E M D

0 1 2 3 4 5 6 7 8 9 10 11 12

  • Find the probability that a point K, selected randomly on , is on the given segment.

  • 2.

  • 3. 4.


Example1
Example

14

4

8

10

Find the probability that a randomly chosen point in the figure lies in the shaded region.


Example2
Example

12

12

Find the probability that a randomly chosen point in the figure lies in the shaded region.


Time problems
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


Homework

WS 11.6A and 11.6B


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