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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
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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+33266 
+11
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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