McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
3. Geometric Probability
Continue to next subchapter

Exercise 11 Page 902

Use a number line to model the given situation.

1/6, approximately 0.17, or approximately 17 %

Practice makes perfect

We know that the ad replays at a random time in each 3-hour interval and want to find the probability that Julio will see it while watching a 30-minute sitcom. We can use a number line to model this situation. Since the ad replays at a random time in each 3-hour interval, we know it will play in 3 hours or less from the start of the sitcom.

On our number line the event of Julio seeing the ad during the sitcom is represented by the segment AB. Let's use geometric probability. The probability of this event is the ratio of the length of AB and the length of AE.

P(seeing the ad during the sitcom) = AB/AE
P(seeing the ad during the sitcom) = 0.5/3
P(seeing the ad during the sitcom) = 1/6
P(seeing the ad during the sitcom) = 0.166666...
P(seeing the ad during the sitcom) ≈ 0.17
P(seeing the ad during the sitcom) ≈ 17 %

The probability of Julio seeing the ad during the sitcom is 16, which can be written as a decimal as approximately 0.17, or approximately 17 %.