SAT Math Practice Question #21648 - SATify | SATify

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SAT Math Practice Question #21648 - SATify | SATify

#21648

probability

geometry

medium

90 sec

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

A.

$\frac{1}{5}$

B.

$\frac{1}{4}$

C.

$\frac{1}{3}$

D.

$\frac{1}{2}$

E.

$\frac{2}{3}$