Final answer:
After calculating and comparing the probability of hitting each color balloon, the true statement is that the probability of hitting a blue balloon is greater than hitting the other color balloons.
Step-by-step explanation:
The question involves calculating the probability of hitting balloons of different colors in a dart game. To find the true statement, we need to understand the probability of hitting each color and then compare them as specified in the statements provided.
The total number of balloons is: 5 (red) + 6 (yellow) + 5 (orange) + 4 (green) + 10 (blue) + 1 (purple) = 31 balloons.
Let's analyze each statement provided:
F: The probability of hitting a red balloon is 5/31, and the probability of hitting a yellow balloon is 6/31. Since 5/31 is not equal to 6/31, this statement is false.
G: The probability of hitting a blue balloon is 10/31. Since 10/31 is greater than the probability of hitting any other single color (as no other color has 10 balloons), this statement is true.
H: The probability of hitting a yellow balloon is 6/31, and since there are more yellow balloons than orange, green, or purple balloons, this statement is false.
J: The probability of hitting a green balloon is 4/31, and the probability of hitting a purple balloon is 1/31. Since 4/31 is not equal to 1/31, this statement is false.
After analyzing each statement, the true statement is:
G. The probability of hitting a blue balloon is greater than hitting the other color balloons.