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Objective- To solve problems involving probability and geometric shapes

This document explores various probability problems related to geometric shapes such as circles, squares, and regions defined on coordinate planes. It presents scenarios involving darts hitting boards, calculates the probability of landing in specific areas, and assesses the likelihood of random accidents occurring between two points on a highway. Through examples, such as determining the probability associated with a spinner landing in a designated region, this text provides a foundation for understanding and solving probability problems effectively.

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Objective- To solve problems involving probability and geometric shapes

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  1. Objective- To solve problems involving probability and geometric shapes If a dart hits the board below, what is the probability that it will land in the circle? 3 20 20

  2. If a dart hits the board below, what is the probability that it will land in the circle? 3 20 20 favorable Area of circle P (circle) = = possible Area of square P (circle) P (circle)

  3. Points A, B, C, D, and E represent points on an interstate highway. A B C D E 17 8 13 12 If a random accident occurs on AE, find the probability that it will occur between B and C. BC 8 P(accident is in BC) = = 17 + 8 + 13 + 12 AE 8 P(accident is in BC) = = 16 % = 0.16 50

  4. Find the probability that thespinner will land on region D. degrees in D A P(D)= B degrees in circle D P(D)= P(D)= C P(D)=

  5. Find the probability that a dart will land in the red area. red area P(red area) = total area middle - small P(red area) = large 3 P(red area) = 5 2 P(red area) = P(red area) =

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