Question

calculating geometric probability on a grid the figure shown is made up of 16 equally sized squares. four of the squares are shaded and 12 are not. what is the probability that a randomly chosen point on the grid is in the shaded area? give your answer as a fraction in simplest form.

Explanation:

Step1: Identify total and shaded squares

Total squares: $16$, Shaded squares: $4$

Step2: Calculate probability

Probability = $\frac{\text{Shaded squares}}{\text{Total squares}} = \frac{4}{16}$

Step3: Simplify the fraction

$\frac{4\div4}{16\div4} = \frac{1}{4}$

Answer:

$\frac{1}{4}$