To find the probability of winning a prize in the art contest, we need to determine the total number of prizes and then divide that by the total number of students participating.
In this case, the prizes are as follows:
- 1 prize for first place
- 1 prize for second place
- 3 prizes for honorable mention
Thus, the total number of prizes is:
\[ 1 + 1 + 3 = 5 \text{ prizes} \]
The total number of students participating in the contest is 50.
The probability of winning a prize can be calculated using the formula:
\[ \text{Probability of winning a prize} = \frac{\text{Number of prizes}}{\text{Total number of students}} \]
Plugging in the values:
\[ \text{Probability of winning a prize} = \frac{5}{50} = \frac{1}{10} = 0.1 \]
So, the probability of winning a prize is \(0.1\) or \(10%\).
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