Honors Geometry Companion Book, Volume 2

9.2.3 Geometric Probability − Worksheet

Example 1: A point is chosen randomly on WZ . Find the probability of each event. 1. The point is on XZ .

2

5

3

W X

Y

Z

2. The point is not on XY .

3. The point is on WX or YZ .

4. The point is on WY .

Example 2: A bus arrives at a station and waits for 1.5 minutes before leaving. Another bus arrives at the station 8.5 minutes later and repeats the cycle. 5.  Find the probability that the bus will be at the station when you arrive.

6.  If you go to the station 20 times, predict about how many times you will have to wait less than 3 minutes.

Example 3: Use the spinner to find the probability of each event. 7.  the pointer landing on green.

120°

45°

45°

90°

60°

8.  the pointer landing on orange or blue

9.  the pointer not landing on red

10.  the pointer landing on yellow or blue

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