What is the probability that a randomly chosen point on the grid below is in the blue area? A grid with 20 squares. 12 are shaded.



Answer :

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].