In a particular game, the player needs to throw a dart onto a circular board whose radius is 8.5 units.The points allotted to the player are based on where the dart lands. Let r be the distance at which dart lands from the centre of the board.Then the points allotted are as follows. 0≤ r <1⇒10 points 1≤ r <3⇒8 points 3 ≤ r <5⇒6 points 5 ≤ r <7⇒4 points 7 ≤ r <8⇒2 points r ≥ 8⇒0 points Assuming the player is not a professional and that there is an equal chance that the dart could land anywhere on the board, what is the probability that the points scored by the player in one throw is a multiple of four? Enter the answer up to 2 decimals accuracy. (Assume the dart lands on the board always)
In a particular game, the player needs to throw a dart onto a circular board whose radius is 8.5 units.The points allotted to the player are based on where the dart lands. Let r be the distance at which dart lands from the centre of the board.Then the points allotted are as follows. 0≤ r <1⇒10 points 1≤ r <3⇒8 points 3 ≤ r <5⇒6 points 5 ≤ r <7⇒4 points 7 ≤ r <8⇒2 points r ≥ 8⇒0 points Assuming the player is not a professional and that there is an equal chance that the dart could land anywhere on the board, what is the probability that the points scored by the player in one throw is a multiple of four? Enter the answer up to 2 decimals accuracy. (Assume the dart lands on the board always)
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.CR: Review Exercises
Problem 40CR
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In a particular game, the player needs to throw a dart onto a circular board whose radius is 8.5 units.The points allotted to the player are based on where the dart lands. Let r be the distance at which dart lands from the centre of the board.Then the points allotted are as follows.
0≤ r <1⇒10 points
1≤ r <3⇒8 points
3 ≤ r <5⇒6 points
5 ≤ r <7⇒4 points
7 ≤ r <8⇒2 points
r ≥ 8⇒0 points
Assuming the player is not a professional and that there is an equal chance that the dart could land anywhere on the board, what is the
Enter the answer up to 2 decimals accuracy.
(Assume the dart lands on the board always)
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