Question

trisha has a dart board as shown below, which is a square that has a total area of 400 square inches. the area of the large circle is 314 square inches. what is the probability that trisha will not get any points with one randomly thrown dart that lands somewhere inside the square? round decimals to two decimal places. options: 0.22, 0.25, 0.79

Explanation:

Step1: Find area of non - scoring region

The area of the square is 400 square inches, and the area of the large circle (scoring region) is 314 square inches. So the area of the non - scoring (green) region is $400 - 314=86$ square inches.

Step2: Calculate probability

The probability that the dart lands in the non - scoring region is the ratio of the area of the non - scoring region to the area of the square. So the probability $P=\frac{86}{400} = 0.215\approx0.22$ (rounded to two decimal places).

Answer:

0.22