Poker Chip Drop

A casino floor is covered by square tiles, each 5 inches by 5 inches, laid edge to edge in a grid. A poker chip of diameter 2 inches falls flat onto the floor. The floor is so large that its outer edges can be ignored: model the chip's centre as landing uniformly at random on the floor.

What is the probability that the chip lies completely inside a single tile, without crossing any boundary line between tiles? Give your answer as a decimal.