Finding Geometric Probability
(of area, that is)
What is geometric Probability?
Geometric Probability, or at least this kind, is the probabilty that a point lies in a specific region of a shape. Some questions may look like so:
What is the percentage that a point may lie within the blue triangle (shaded region) within the red circle. (This question's picture is at right)
How to find the Probability
Next, you need to find the percentage of area the smaller shape covers of the larger one. Set up a proportion so that the smaller shapes area is to the entire region's area, as x is to 100. Solve.
Congrats! That's all there is to it!
Question- find probability that a point lies in the outer circle
Next step- Set it up as a proportion. 16 pi is to 25 pi as x is to 100. Solve.
You should end up with......... about 64%! The probability that a point lies in the outer circle is 64 percent. That should be where you place your bets!