Question

a dart is dropped above the target shown in the diagram. the dart has an equal chance of landing on any spot on the target. what is the probability the dart will land in the shaded square on the target? round the answer to the nearest hundredth. enter the answer in the box.

Explanation:

Step1: Calculate area of large square

$\text{Area}_{\text{large}} = 20 \times 20 = 400 \ \text{cm}^2$

Step2: Calculate area of shaded square

$\text{Area}_{\text{shaded}} = 4 \times 4 = 16 \ \text{cm}^2$

Step3: Compute probability (ratio of areas)

$\text{Probability} = \frac{\text{Area}_{\text{shaded}}}{\text{Area}_{\text{large}}} = \frac{16}{400} = 0.04$

Answer:

0.04