Question

In the figure, a sector of the circle with central angle 120° is given. If a dot is put in the circle without looking, what is the probability that the dot is in the shaded region ? 

 

Hint:

In geometric probability problems involving sectors of a circle, you don't need to calculate the actual areas using π r². The ratio of the areas is the same as the ratio of their central angles, which simplifies the calculation significantly.

Answer 1