$A$ game consists of spinning an arrow which comes to rest pointing at one of the regions ($1, 2$ or $3$). Are the outcomes $1, 2$ and $3$ equally likely to occur? Give reasons.

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(N/A) No,the outcomes are not equally likely.
In the given figure,the circle is divided into three regions $1, 2,$ and $3$.
The region $3$ covers half of the circle (an area of $180^{\circ}$),while regions $1$ and $2$ each cover one-fourth of the circle (an area of $90^{\circ}$ each).
Since the areas of the regions are not equal,the probability of the arrow pointing to each region is not the same.
Therefore,the outcomes $1, 2,$ and $3$ are not equally likely.

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