SAT Math Practice Question #23059 - SATify | SATify

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SAT Math Practice Question #23059 - SATify | SATify

#23059

probability

combinatorics

hard

180 sec

A $3 \times 3$ grid is randomly filled with either a solid gray tile or a solid white tile. What is the probability that at least one $2 \times 2$ subgrid is entirely gray?

A.

$\frac{103}{512}$

B.

$\frac{101}{512}$

C.

$\frac{99}{512}$

D.

$\frac{97}{512}$

E.

$\frac{105}{512}$