Question

The following shape is made up of a square having each side 20 units, and inside each square, there is a green colored rhombus of area 8 sq. units each.

If we throw a pebble upon the pattern, find the probability of the pebble stopping on the green-colored rhombus.

• A. $\frac{1}{4}$
• B. $\frac{1}{5}$
• C. $\frac{1}{3}$
• D. $\frac{1}{2}$

Answer 1

The correct option is D $\frac{1}{2}$

Area of 1 rhombus = 8 sq units.
There are 25 rhombuses in the figure.

∴ Area of 25 rhombuses = 25 × Area of 1 rhombus

And,
Side of square = 20 units.
Area of the square = 20 × 20 = 400 sq. units.

$\text{Required probability}=\frac{favorablearea}{totalarea}$

There are 25 rhombuses.

So, total favorable area = 25 × 8 = 200 sq. units.

$\text{Hence, the required probability is}=\frac{200}{400}=\frac{1}{2}$