Geometric Probability

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Transcript Geometric Probability

Geometric Probability Geometry 10.8

Mr. Belanger

P(event)= An

event

is any outcome that happens when a game/experiment is done.

In terms of geometry we are thinking about shapes… Probability of hitting a section on a dart board.

Probability of throwing the bean bag through the hole.

Probability of getting the ring on the Coke bottle.

P(event)=

P(event) = area of region trying to hit area of whole game board

Ways to report answer… Fraction

a b

Ratio a:b Percent 75%

Examples: If AD is 24 and BD is 17 what is the probability of landing in AB?

A B C D How long is AB?

p

 7 24  29 % 7

11 3.5

Examples: What is the probability of hitting the green section?

p

  3 .

5  11  3 .

5  11   P= 10%

Radius = 12 in Examples: What is the probability of hitting the section of blue or anywhere inside the blue ring?

P=      Radius = 7 in P = 34%

8 10 Examples: P(triangle)= .

5  8  10   sin 5 2 30 20 78 .

5  25 .

5 %