4. The flag of Greenland is shown below: 1 It is an 18 x 12 rectangle; if placed on a coordinate plane with bottom left corner at (0,0) and top right corner at (18, 12), it is divided in half by a line at y = 6 and has a circle of radius 4 centered at (7,6). The top half of the flag is white and the bottom half is red; within the circle, the two colors are swapped. Suppose that a point on this flag is chosen uniformly at random. (a) Find the probability that the chosen point is red. (b) Find the probability that the chosen point is red or inside the circle. (As usual, "or" in mathematics includes the possibility that both things happen.)
4. The flag of Greenland is shown below: 1 It is an 18 x 12 rectangle; if placed on a coordinate plane with bottom left corner at (0,0) and top right corner at (18, 12), it is divided in half by a line at y = 6 and has a circle of radius 4 centered at (7,6). The top half of the flag is white and the bottom half is red; within the circle, the two colors are swapped. Suppose that a point on this flag is chosen uniformly at random. (a) Find the probability that the chosen point is red. (b) Find the probability that the chosen point is red or inside the circle. (As usual, "or" in mathematics includes the possibility that both things happen.)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 81E
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Transcribed Image Text:4. The flag of Greenland is shown below:
1
It is an 18 x 12 rectangle; if placed a coordinate plane with bottom left corner at (0,0)
and top right corner at (18, 12), it is divided in half by a line at y = 6 and has a circle of
radius 4 centered at (7,6).
The top half of the flag is white and the bottom half is red; within the circle, the two colors
are swapped.
Suppose that a point on this flag is chosen uniformly at random.
(a) Find the probability that the chosen point is red.
(b) Find the probability that the chosen point is red or inside the circle. (As usual, "or" in
mathematics includes the possibility that both things happen.)
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