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
[tex]\text{Probability}=\dfrac{\text{Number of blue boxes (shaded region)}}{\text{Total number of small boxes}}[/tex]
[tex]\text{Probability}=\dfrac{36}{100}[/tex]
To find the probability in percent, multiply it by 100.
[tex]\text{Probability}\%=\dfrac{36}{100}\times 100[/tex]
[tex]\text{Probability}\%=36\%[/tex]
Therefore, the correct option is A.
