To find the area of the square, we need to take the square root of 400, which is 20 inches. The side length of the square is 20 inches.
The probability of not getting any points with one randomly thrown dart that lands somewhere inside the square is the ratio of the area of the circle to the area of the square.
Let's calculate the area of the small circle first:
Area of the small circle = Total area of the large circle - Area of the square = 314 - 400 = 86 square inches
Now, we calculate the probability:
Probability = Area of the small circle / Area of the square = 86 / 400 ≈ 0.22
Therefore, the probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square is approximately 0.22. Therefore, the answer is 0.22.
Trisha has a game 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.
mc026-1.jpg
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.
0.22
0.25
0.79
0.82
1 answer
1 answer