GEOMETRIC PROBABILITY

1
Section 11.8

• GEOMETRIC PROBABILITY

2
General Probability
3
SAT Geometric Probability

• Suppose a point P is randomly drawn on the line
  segment. What is the probability that P is on
  ?

There are 5 total parts
CF is 3 parts
4

• At a carnival game, dishes are positioned on a
  table so that they do not overlap. You win a
  prize if you throw a nickel that lands in a dish.
  
• If the area of the table is 1.5 m2 and the
  combined area of the dishes is 1 m2, what is the
  probability that the nickel will not land in the
  dish?

5

1. A DART bus pulls up in front of Sallies every 20
   minutes. The length of time each bus waits is 3
   minutes. If a student walks out at any random
   time, what is the probability he will be able to
   board the bus as soon as he arrives?

Hint Set up a time line
BUS
BUS
BUS
0
3
20
23
40
43
One total cycle
p(boarding) 3/20
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• A DART bus pulls up in front of Sallies every 20
  minutes. The length of time each bus waits is 3
  minutes.
• 4) If a student goes out and there is no bus,
  what is the probability that his wait time will
  not exceed 10 minutes?

BUS
BUS
10
0
3
20
23
40
43
One total cycle
p(wait lt 10) 10/17
7
SAT Probability
24

• A large box contains exactly 24 bowling balls.
  All of the balls are either black, yellow, blue,
  or red. The probability of selecting a red ball
  at random from the box is ¼, and the probability
  of selecting a black ball is 1/6. What is the
  sum of the yellow and blue bowling balls in the
  box?
• A) 8 B) 12 C) 14 D) 16
  E)18

6
4
6
4
10
14
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Counting Rule

• MULTIPLY

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LICENSE PLATES

• In Delaware, license plates have seven
  characters. How many possibilities are there
  total?
• What if you could only use numbers?
• What if you cant repeat letters?
• What if you do not have any restrictions at all?

36363636363636
7.836 E 10
26252423222120
3,315,312,000
10101010101010
10,000,000
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Intersections

• 1)There are 9 students in Math class and there
  are 5 students in French class. If 3 students
  take both Math and French, what is the total
  number of students taking one of the classes?
• Use a Venn Diagram

MATH
FRENCH
3
93 6
53 2
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Intersections

• 2) In a group of 200 high school juniors and
  seniors, 70 are boys, 50 are senior boys and 80
  are seniors. How many girls are juniors?
• Create a Chart

MALES
FEMALES
JUNIORS
20
120
100
50
SENIORS
80
30
70
200
130
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Practice

• Page 463-464
• 1 5, 7, 8, 11

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Ch 11 Test
Geometric Probability
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SAT Formulas