Question
for the 50 students in art contest their will be 1 prize for the first place 1 prize for second place and 3 prices for honorable mention what is the probability of wining a prize
Answers
GPT-4o mini
To find the probability of winning a prize in the art contest, we first need to determine the total number of prizes available and the total number of students participating.
- Total number of students: 50
- Number of prizes for first place: 1
- Number of prizes for second place: 1
- Number of prizes for honorable mention: 3
Total prizes available = 1 (first place) + 1 (second place) + 3 (honorable mentions) = 5 prizes.
Now, to find the probability of winning a prize, we can use the probability formula:
\[
\text{Probability of winning a prize} = \frac{\text{Number of prizes}}{\text{Total number of students}}
\]
Plugging in the numbers:
\[
\text{Probability of winning a prize} = \frac{5}{50} = \frac{1}{10} = 0.1
\]
So, the probability of a student winning a prize in the art contest is \(0.1\) or \(10\%\).
- Total number of students: 50
- Number of prizes for first place: 1
- Number of prizes for second place: 1
- Number of prizes for honorable mention: 3
Total prizes available = 1 (first place) + 1 (second place) + 3 (honorable mentions) = 5 prizes.
Now, to find the probability of winning a prize, we can use the probability formula:
\[
\text{Probability of winning a prize} = \frac{\text{Number of prizes}}{\text{Total number of students}}
\]
Plugging in the numbers:
\[
\text{Probability of winning a prize} = \frac{5}{50} = \frac{1}{10} = 0.1
\]
So, the probability of a student winning a prize in the art contest is \(0.1\) or \(10\%\).