Question

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

36%
40%
64%
60%

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}=\frac{\text{Number of blue boxes (shaded region)}}{\text{Total number of small boxes}}`

`\text{Probability}=(36)/(100)`

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

`\text{Probability}\%=(36)/(100)* 100`

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

Therefore, the correct option is A.