Notes – Lesson 10.8
Geometry
Name _________________________________
Main Street intersects each street below. The traffic lights on Main follow the cycles shown. As you travel along Main
and approach the intersection, what is the probability that the first color you see is green?
1. Durham Ave: green 30 s, yellow 5 s, red 25 s
2. Martin Luther King Boulevard: green 20 s, yellow 5 s, red 50 s
3. International Drive: green 25 s, yellow 5 s, red 45 s
4. If a dart lands at random on the poster at the right, what is
the probability that the dart will land inside on o f the polygons?
5. Assume that you are not a horrible dart player and you dart
will land on the square dart board somewhere. Find the
following probabilities.
a) P(C)
b) P(B)
c) P(C)
6. Find the probability that a dart landing randomly within
the square does not land within the circle.
7. Find the probability that the dart land inside a circle.
Find the probability that a point chosen at random from
AK is on the given segment.
8) CH
9) FG
10) DJ
radius of small circle = 1
radius of medium circle = 2
radius of large circle = 3
11) Elena’s bus runs every 25 minutes. If she arrives at her bus stop at a random time, what is the probability that she will have
to wait at least 10 minutes for the bus?
12.) What is the probability that Elena will have to wait no more than 10 minutes?
13) A museum offers a tour every hour. If Benny arrives at the tour site at a random time, what is the probability that he will
have to wait at least 15 minutes?
14) A rapid transit line runs trains every 10 minutes. Find the probability that arriving passengers will not have to wait more
than 4 minutes.
15) Suppose a bus arrives at a bus stop every 25 minutes and waits 5 minutes before leaving. Find the probability that a person
has to wait more than 10 minutes for a bust to leave.
15) To win a prize in a carnival game, you must toss a quarter so that is lands
entirely within the circle as shown at the right. Find the probability of this
happening on one toss.