Final answer:
The probability of winning a prize in a carnival game is 14%.
Step-by-step explanation:
To find the probability of winning a prize, we need to divide the number of favorable outcomes by the total number of possible outcomes. In this case, the probability of winning is 1 out of 7, so the probability can be calculated as 1/7 = 0.142857 or approximately 14%. Therefore, the correct answer is C) 14%.