Geometric probability uses ideas about area to find the probability of an event.
( ) Area Total
Area Shaded=shadedP
If a parachutist jumps out of a plane, what is the probability he will land on the emblem of a Football Field?
The parachutist guarantees that he will land on the field or the jump is at NO cost.
Area of Emblem=(80)(80) Area of Field = (160)(360)
Probability
Roulette26
23 1
16
206
12
17
19
14
28
10
30
9
721 3
25
24
13
15
18
27
2
11
29
8
22
4
5
ODD EVEN
1 11 21
2 12 22
3 13 23
4 14 24
5 15 25
6 16 26
7 17 27
8 18 28
9 19 29
10 20 30
1 to 10 11 to 20 21 to 30
RED BLACK
P(odd number)
P(1 to 10)
P(Black)
P(number 1)
= 15/30 = ½ or 50%
= 10/30 = 1/3 or 33%
= 15/30 = ½ or 50%
= 1/30 or 3.3%
What is the probability of throwing a dart and hitting the red, blue, or yellow areas? Assume that every dart will hit within the large white square.
What is the probability of hitting the Red area?2 rA π=
( ) ( ) 26.283 14.3 2 ==redA
( )1300
30
1296
26.28 ≈=redP
( )130
3≈redP
What is the probability of hitting the blue area?
( ) ( ) 34.2549 14.3 2 ==blueA
( )1300
225
1296
08.226 ≈=blueP
( ) 08.22626.2834.254 =−=−redblueA
( )52
9≈blueP
What is the probability of hitting the yellow area?
( ) ( ) 5.70615 14.3 2 ==yellowA
( )1300
450
1296
16.452 ≈=yellowP
( ) 16.45234.2545.706 =−=−blueyellowA
( )26
9≈yellowP