Geometric Probability

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Presentation transcript:

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 A C D B

Probability and Area Area of M P(point K is in region M) = Area of J J

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. 2. 3. 4.

Example 10 4 14 8 Find the probability that a randomly chosen point in the figure lies in the shaded region.

Example 12 Find the probability that a randomly chosen point in the figure lies in the shaded region.

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