body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Geometric Probability

Finish the assignment

Continue to next subchapter

Exercise 7 Page 902

In geometric probability, points on a segment or in a region of a plane represent outcomes. The geometric probability of an event is a ratio that involves geometric measures such as length or area.

13/18, 0.72, or about 72 %

Practice makes perfect

We can use geometric models to solve certain types of probability problems. In geometric probability, points on a segment or in a region of a plane represent outcomes. The geometric probability of an event is a ratio that involves geometric measures such as length or area. Consider the given diagram.

We are told that a point on FK is chosen at random, and want to find the probability that the point X lies on GJ.

The probability that the point X is on GJ is the ratio of the length of GJ to the length of FK. P(X is onGJ)=GJ/FK Looking at the given number line, we can see that GJ= 26 and FK= 36.

We can substitute these values in the above formula to find the probability that the point lies on GJ.

P(X is onGJ)=GJ/FK

GJ= 26, FK= 36

P(X is onGJ)=26/36

a/b=.a /2./.b /2.

P(X is onGJ)=13/18

▼

Write as a decimal

Use a calculator

P(X is onGJ)=0.72

Round to 2 decimal place(s)

P(X is onGJ)≈ 0.72

Convert to percent

P(X is onGJ)≈72 %

The probability that the point X lies on GJ is equal to 1318, which can be also written as 0.72 or about 72 %.

Subchapter links

Exercises p.902-905