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Understanding Geometric Probability and Event Likelihood

This text explores the concept of geometric probability, which measures the likelihood of events by using geometric measures like length or area. It discusses how the probability of an event (P(A)) is defined as the ratio of favorable outcomes to total outcomes. The document includes examples that illustrate how to find probabilities related to randomly chosen points on line segments and within geometric figures, such as calculating the probability of hitting a target area, such as a red circle on a target.

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Understanding Geometric Probability and Event Likelihood

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  1. Geometric Probabilty11.7

  2. Geometric Probability Probability of an event – measure of the likelihood that the event will occur. Probability of event A is written as P(A). It is a ratio of favorable outcomes to total outcomes. Geometric Probabilty – A ratio that involves geometric measure such as length or area.

  3. Find the probability that a point chosen at random on PQis on RS. EXAMPLE 1

  4. Find the probability that a point chosen at random on JN is on KN Daily Homework Quiz

  5. Find the probability that a randomly chosen point in the figure will lie in the shaded region. Daily Homework Quiz

  6. EXAMPLE 3 The diameter of the target shown at the right is 80 centimeters. The diameter of the red circle on the target is 16 centimeters. An arrow is shot and hits the target. If the arrow is equally likely to land on any point on the target, what is the probability that it lands in the red circle?

  7. Daily Homework Quiz PRACTICE p.774: 3-10

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