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counting and probability intermediate

Problem

A point is selected at random from the portion of the number line shown here. What is the probability that the point is closer to 4 than to 0? Express your answer as a decimal to the nearest tenth.

problem
Solution
We find the point which is equidistant from 0 and 4. Clearly, this occurs at 2. So, for all , is closer to 4 than 0. So, the probability is equal to the length of this region .
Final answer
.6