Question

a point is randomly selected on the grid. what is the probability that the point will be located in the shaded region? give your answer as a fraction.

Explanation:

Step1: Count total grid cells

The grid has 4 rows and 6 columns, so total cells $= 4\times6 = 24$.

Step2: Count shaded (light blue) cells

Looking at the grid:

• Row 1: 2 shaded cells.
• Row 2: 3 shaded cells.
• Row 3: 3 shaded cells.
• Row 4: 2 shaded cells.

Total shaded cells $= 2 + 3 + 3 + 2 = 10$.

Step3: Calculate probability

Probability $= \frac{\text{Number of shaded cells}}{\text{Total number of cells}} = \frac{10}{24} = \frac{5}{12}$.

Answer:

$\frac{10}{24}$ (or simplified to $\frac{5}{12}$)