XAT 2018 Probability Question (Medium)

Question

A coin of radius 3 cm is randomly dropped on a square oor full of square shaped tiles of side 10 cm each. What is the probability that the coin will land completely within a tile? In other words, the coin should not cross the edge of any tile.

Optima Learn · Accepted Answer

For the coin to lie completely within a 10 times 10 tile, its center must be at least 3 cm away from every edge. So the allowable region for the center is a smaller square of side 10 - 2 times 3 4 cm. Area of allowable region 4 times 4 16. Total area of the tile 10 times 10 100. Therefore, probabili

XAT 2018 Probability — Previous Year Question

XAT 2018

Quantitative

Probability

Medium

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