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On the number line, point A is located at 0, point B is located at 4, and point C is located at 6. A dart randomly lands somewhere on the number line between A and C. What is the probability that it lands closer to B than it does to A or C?

 Apr 26, 2015

Best Answer 

 #1
avatar+33654 
+12

To land closer to B than A it would have to land at a point > 2.  To land closer to B than C it would have to land at a point < 5.  So it would have to land between 2 and 5 a region which is half of the total between 0 and 6.  So the probability it lands closer to B than to either A or C is 0.5.

 Apr 26, 2015
 #1
avatar+33654 
+12
Best Answer

To land closer to B than A it would have to land at a point > 2.  To land closer to B than C it would have to land at a point < 5.  So it would have to land between 2 and 5 a region which is half of the total between 0 and 6.  So the probability it lands closer to B than to either A or C is 0.5.

Alan Apr 26, 2015

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