Given: A survey of 100 high school students provided this frequency table on how students get to school:
Required: Probability that a random selected student does not drive to school.
Explanation:
Let E be the event that a random selected student does not drive to school.
[tex]P(E)=\frac{Favourable\text{ Outcomes}}{Total\text{ outcomes}}[/tex]
Favourable outcomes: Number of students not diving to school, that is, either they take the bus or walk = 25+20+5+3+2+5 = 60
Total outcomes = Total number of students = 100.
So
[tex]\begin{gathered} P(E)=\frac{60}{100} \\ =\frac{3}{5} \end{gathered}[/tex]
Thus Probability that a random student does not drive to school is 3/5.
Final Answer: The probability is 3/5.
