Question

probability
guided practice
each square on this board is 1 in. what is the geometric probability that a randomly dropped button will fall into a shaded region of this board?
a. 37.5%
b. 62.5%
c. 75%
d. 50.0%

Explanation:

Step1: Count total squares

Total squares = $8 \times 8 = 64$

Step2: Count shaded squares

Shaded squares = 40

Step3: Calculate probability

Probability = $\frac{\text{Shaded Squares}}{\text{Total Squares}} \times 100\% = \frac{40}{64} \times 100\% = 62.5\%$

Answer:

B. 62.5%