Step-by-step explanation:
To find the probability that a randomly chosen point on the grid is in the blue area, we need to determine the fraction of the total grid that is shaded blue.
Given:
- Total number of squares on the grid = 20
- Number of shaded squares (blue area) = 12
The probability [tex]\( P \)[/tex] that a randomly chosen point is in the blue area is calculated as the ratio of the number of shaded squares to the total number of squares:
[tex]\[ P = \frac{\text{Number of shaded squares}}{\text{Total number of squares}} = \frac{12}{20} \][/tex]
Now, simplify the fraction:
[tex]\[ P = \frac{12}{20} = \frac{6}{10} = \frac{3}{5} \][/tex]
Therefore, the probability that a randomly chosen point on the grid is in the blue area is [tex]\( \frac{3}{5} \)[/tex].