QUESTION IMAGE
Question
the data show the favorite subjects of a random sample of students. what is the probability that a randomly selected 10th grade student at the school favors english?
| math | science | english | |
|---|---|---|---|
| 11th grade | 6 | 2 | 12 |
| 12th grade | 2 | 3 | 5 |
Step1: Find total 10th - grade students
Add the number of 10th - grade students who favor each subject. $12 + 5+3=20$
Step2: Find number of 10th - grade students who favor English
The number of 10th - grade students who favor English is 3.
Step3: Calculate the probability
Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So the probability that a randomly - selected 10th - grade student favors English is $\frac{3}{20}$.
To convert to percentage, multiply by 100: $\frac{3}{20}\times100 = 15$
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