McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
3. Geometric Probability
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Exercise 21 Page 903

Use geometric probability. What is the length of a segment on the given number line that represents an event with a probability of 33 %?

Example Event: Choosing a number between 10 and 20

Practice makes perfect

We want to describe an event with a 33 % probability for the given model. The given model is a number line.

We will use geometric probability. The probability of an event represented by a segment of a number line is the ratio of the length of the segment representing the event to the length of the entire line. The length of the entire line is 30. Since 33 % is approximately 13, we want our event to be represented by a segment with a length equal to 13 of the length of the entire line. 1/3* 30 = 10 We want our event to be represented by a segment that has a length of 10. An example of such an event is randomly choosing a number between 10 and 20.