Question

a health instructor surveyed all her students, and tallied the results. the first survey question asked, \do you adhere to a vegetarian diet or omnivorous diet?\ the second question asked, \approximately how often do you exercise?\ what is the probability that a randomly selected student exercises daily and adheres to an omnivorous diet? simplify any fractions.

Explanation:

Step1: Find total number of students

We add up all the values in the table. $4 + 2+3 + 1=10$.

Step2: Identify number of students who exercise daily and adhere to an omnivorous diet

The number of students who exercise daily and adhere to an omnivorous diet is 1.

Step3: Calculate the probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes is 1 and the total number of outcomes is 10. So the probability is $\frac{1}{10}$.

Answer:

$\frac{1}{10}$