×

# Area Probability

$$A$$ and $$B$$ are points on a circle centered at $$O$$ and radius $$2$$. An arbitrary point $$X$$ lies on the major arc $$AB$$. Determine the probability that $$[AXB]\geq \sqrt{6}$$.

Note: $$[AXB]$$ denotes the area of triangle $$AXB$$.