Exercise 2 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.

3/10, 0.3, or 30 %

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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 AD is chosen at random, and want to find the probability that the point X lies on BC.

The probability that the point X is on BC is the ratio of the length of BC to the length of AD. P(X is onBC)=BC/AD Looking at the given number line, we can see that BC= 3 and AD= 10.

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

P(X is onBC)=BC/AD

SubstituteII

BC= 3, AD= 10

P(X is onBC)=3/10

WriteDec

Write as a decimal

P(X is onBC)=0.3

WritePercent

Convert to percent

P(X is onBC)=30 %

The probability that the point X lies on BC is equal to 310, which can be also written as 0.3 or 30 %.

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