Question

juan’s game board is a square with sides that are 50 cm long. the area of the large circle is about 1,963.5 square cm. what is the geometric probability that juan will score more than 0 points? options: 0, 0.215, 0.785, 1

Explanation:

Step1: Calculate area of square

The side length of the square is 50 cm, so the area of the square $A_{square}=50\times50 = 2500$ square cm.

Step2: Calculate probability

The area of the large circle is 1963.5 square cm. The probability of scoring more than 0 points is the ratio of the area of the large circle to the area of the square. So $P=\frac{1963.5}{2500}= 0.7854\approx0.785$.

Answer:

0.785