Question

plications of probability and geometry
ryder shot a model rocket over an area that consists of two grassy areas, which are shaded in the diagram, and an area with no grass, which is not shaded.
diagram with 15 acres (shaded), 30 acres (unshaded), 5 acres (shaded)
what is the probability that his model rocket has landed in a grassy area?
options: 0.6, 0.4, 0.3, 0.2

Explanation:

Step1: Calculate total area

The total area is the sum of the grassy areas and the non - grassy area. The grassy areas are 15 acres and 5 acres, and the non - grassy area is 30 acres. So total area $A = 15 + 30+5=50$ acres.

Step2: Calculate grassy area

The grassy area $G=15 + 5 = 20$ acres.

Step3: Calculate probability

The probability $P$ that the rocket lands in a grassy area is the ratio of the grassy area to the total area. So $P=\frac{G}{A}=\frac{20}{50}=0.4$.

Answer:

0.4