Question

a house has a large window made of 15 equal - sized pieces of glass, each the same size and shape. there are 3 pieces of glass that are cracked. if a rock thrown by a lawn mower hits the window, what is the probability that the rock hits a piece of glass that is cracked?
o a. $\frac{1}{12}$
o b. $\frac{1}{5}$
o c. $\frac{1}{4}$
o d. $\frac{1}{3}$

Explanation:

Step1: Identify total and favorable outcomes

Total number of glass pieces is 15, number of cracked pieces is 3.

Step2: Apply probability formula

Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{3}{15}$.

Step3: Simplify the fraction

$\frac{3}{15}=\frac{1}{5}$.

Answer:

B. $\frac{1}{5}$