1. Lesson #5- Geometric Probability

2. Geometric Probability
There are 3 types of geometric probabilities, one for each of the commonly used dimensions of space; length, area and volume.
Target length 1D
P(Target) =
Total length
Target area 2D
P(Target) =
Total area
Target volume 3D
P(Target) =
Total volume

3. There is an 18% chance the blind mouse will escape into the hole.
Eg. 1 What is the probability that the blind mouse will escape into a hole?
Target length
P(Target) =
90 cm
Total length
16 cm =
90 cm 8 = 45
8 cm
Probability of Volume =
0.18
There is an 18% chance the blind mouse will escape into the hole.

4. Target A Target B Target C The dart will hit Target C
Eg. 2 Which black target is a skydiver most likely to land on?
Target A
Target B
Target C
6 m
4 m
6 m
6 m =
Asquare
P(B) =
ABcircle -AScircle
Pr2 - Pr2 s2
P(3)2 – P(2)2 62
9P – 4P 36 5P
= 0.436 =
P(A) =
Target area
Total area
4 black squares
9 total squares 4 9
0.444
P(C) =
Target area
Total area =
4(b)(h))/ 2 s2
2(3)(3) 62 18 36
0.5
The dart will
hit Target C

5. Vcone Vprism Target volume Total volume
Eg. 3 What is the probability the bee is in the
laser cone?
Vcone
h=6 m
Vprism
s = 8 m
Target volume
P(Cone) =
Total volume
The probability the bee is in the cone is 26%

6. Geometric Probability Worksheet
Homework
Geometric Probability Worksheet