SAT Math Practice Question #21647 - SATify | SATify

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SAT Math Practice Question #21647 - SATify | SATify

#21647

probability

geometry

medium

90 sec

A point $P$ is chosen at random in the interior of a regular hexagon $A BC D EF$ . What is the probability that $△ P A B$ has a greater area than each of $△ PBC$ , $△ PC D$ , $△ P D E$ , $△ PEF$ , and $△ PF A$ ?

A.

$\frac{1}{8}$

B.

$\frac{1}{6}$

C.

$\frac{1}{4}$

D.

$\frac{1}{3}$

E.

$\frac{1}{2}$