3. The idea behind classical probability can be used to calculate probabilities when we have 2D objects in the following form: P[Hitting Region insde object] Area Region = Total Area Now, a standard dart board has following dimensions (cf. also Figure 3 below): Center to DB wire 6.35 Center to SB wire Center to inner triple wire 15.9 99 Center to outer triple wire 107 Center to inner double wire 162 Center to outer double wire 170 Table 2: Board measurements in mm Where "DB" stands for Double Bulls Eye and "SB" stands for Single Bulls Eye. Imagine a player throws the darts at random. Calculate the probability of: (a) hitting the double bulls eye. (b) hitting somewhere between the center and the inner triple wire. (c) hitting the ring between the SB wire and the inner triple wire. (d) hitting exactly a point on the board.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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3. The idea behind classical probability can be used to calculate probabilities when we have 2D
objects in the following form:
P[Hitting Region insde object]
Area Region
=
Total Area
Now, a standard dart board has following dimensions (cf. also Figure 3 below):
Center to DB wire
6.35
Center to SB wire
Center to inner triple wire
15.9
99
Center to outer triple wire
107
Center to inner double wire
162
Center to outer double wire 170
Table 2: Board measurements in mm
Where "DB" stands for Double Bulls Eye and "SB" stands for Single Bulls Eye. Imagine a
player throws the darts at random. Calculate the probability of:
(a) hitting the double bulls eye.
(b) hitting somewhere between the center and the inner triple wire.
(c) hitting the ring between the SB wire and the inner triple wire.
(d) hitting exactly a point on the board.
Transcribed Image Text:3. The idea behind classical probability can be used to calculate probabilities when we have 2D objects in the following form: P[Hitting Region insde object] Area Region = Total Area Now, a standard dart board has following dimensions (cf. also Figure 3 below): Center to DB wire 6.35 Center to SB wire Center to inner triple wire 15.9 99 Center to outer triple wire 107 Center to inner double wire 162 Center to outer double wire 170 Table 2: Board measurements in mm Where "DB" stands for Double Bulls Eye and "SB" stands for Single Bulls Eye. Imagine a player throws the darts at random. Calculate the probability of: (a) hitting the double bulls eye. (b) hitting somewhere between the center and the inner triple wire. (c) hitting the ring between the SB wire and the inner triple wire. (d) hitting exactly a point on the board.
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