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Question
estelle surveyed some students at her school about their favorite classes. of the students surveyed, 7 said science was their favorite class, while 7 of the students had other favorite classes. what is the experimental probability that the next student estelle talks to will pick science? write your answer as a fraction or whole number. p(science) =
Step1: Find total number of students surveyed
The number of students who said science was their favorite is 7 and the number of students who had other favorites is 7. So the total number of students surveyed is $7 + 7=14$.
Step2: Calculate experimental - probability
The experimental probability $P(A)$ of an event $A$ is given by the formula $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the event $A$ is a student picking science as their favorite class. The number of favorable outcomes (students who like science) is 7 and the total number of outcomes (total students surveyed) is 14. So $P(\text{science})=\frac{7}{14}$.
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$\frac{7}{14}$