Question

What is the probability that a point chosen at random on the grid will lie in the shaded region?

Answer 1

Given:

A grid with a shaded region.

To find:

The probability that a point chosen at random on the grid will lie in the shaded region.

Solution:

We have,

Total number of small boxes = 100

Number of blue boxes (shaded region) = 36

Now,

probability that a point chosen at random on the grid will lie in the shaded region is

$\text{Probability}=\dfrac{\text{Number of blue boxes (shaded region)}}{\text{Total number of small boxes}}$

$\text{Probability}=\dfrac{36}{100}$

To find the probability in percent, multiply it by 100.

$\text{Probability}\%=\dfrac{36}{100}\times 100$

$\text{Probability}\%=36\%$

Therefore, the correct option is A.