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Probability, STD2 EQ-Bank 20

In a group of 60 students, 38 play basketball, 35 play hockey and 5 do not play either basketball or hockey.

  1. Draw a Venn diagram to represent the information given.   (2 marks)

    --- 5 WORK AREA LINES (style=lined) ---

  2. What percentage of students play both basketball and hockey?   (1 mark)

    --- 4 WORK AREA LINES (style=lined) ---

Show Answers Only

a.    

 
b.
    \(\text{From the diagram, 18 students play both sports.}\)

\(\text{Percentage}\ = \dfrac{18}{60} \times 100 = 30\%\)

Show Worked Solution

a.    

 
b.
    \(\text{From the diagram, 18 students play both sports.}\)

\(\text{Percentage}\ = \dfrac{18}{60} \times 100 = 30\%\)

Filed Under: Venn Diagrams and Expected/Relative Frequency Tagged With: Band 4, smc-6936-10-Venn Diagrams, syllabus-2027

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