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 $C$?

Mellie Apr 26, 2015

#1**+11 **

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.

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Alan Apr 26, 2015

#1**+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.

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Alan Apr 26, 2015