Question

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1. Use common sense to determine whether the given event is possible.

A student randomly picked three different points on a line, and then he noticed that all three points were also on the same circle.



A)It is possible, but very unlikely.


B)It is possible and likely.


C)It is impossible.

Answer 1

Three points on a circle cannot be collinear (on the same line). For that too be possible the circle would have to have infinite radius, which is impossible as nothing is truly infinite. Therefore it would be impossible to pick three points on a line which also lie on a circle. There are no straight sections along the curvature of a circle as then the points could not all be the same distance from the center, which is the definition of a circle.

C) It is impossible.