Geometric Probability

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Presentation transcript:

Geometric Probability Unit 11 Section 8 Use lengths and areas to solve problems involving geometric probability.

Geometric Probability : Using the length, area, and volume to estimate the probability of an event. Use one of the following principles: If a point P on is picked at random. Then: probability that P is on = A C B 2. If a point P on Region S is picked at random. Then probability that P is in region R = S R

Example 1: Suppose a point P on is picked at random Example 1: Suppose a point P on is picked at random. What is the probability P is on . A B C D E F Practice 1: Lesson 11.8 Notes #1

Example 2: At a carnival game, dishes are positioned on a table so that they do not overlap. You win a prize if you throw a quarter that lands in a dish. If the area of the table is 1.5 m and the combined area of the dishes is 1 m , what is the probability that the quarter will not land in a dish? Practice: Lesson notes 11.8 #2

Example 3: A different commuter train stops at a certain station every 20 minutes. The length of time each train stands at rest at the station is 3 minutes. If you arrive at a random time, what is the probability you will be able to board the train as soon as you arrive at the station? If you are arrive at the station and there is not train waiting, what is the probability that your wait will not exceeded 10 minutes? Practice: Lesson 11.8 #3 Homework: P463 Written Exercises #1-6 and Review Worksheet 11.4 & 11.7