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6 students in a class (U) were asked if they ran (R) or cycled (C) during the midterm break - Junior Cycle Mathematics - Question 5 - 2022

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6 students in a class (U) were asked if they ran (R) or cycled (C) during the midterm break. The Venn diagram shows their responses. (a) Name one student who ran du... show full transcript

Worked Solution & Example Answer:6 students in a class (U) were asked if they ran (R) or cycled (C) during the midterm break - Junior Cycle Mathematics - Question 5 - 2022

Step 1

Name one student who ran during the midterm break.

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Answer

Jerome, Marcella, Tim, or Denise could be mentioned as students who ran.

Step 2

Explain what the following statement means, in terms of the students in the class: # C = 3

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Answer

This means that there are three students who cycled during the midterm break.

Step 3

Name one student who is in the region R ∩ C in the Venn diagram.

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Answer

Tim or Denise would be students located in the intersection of the regions for running and cycling.

Step 4

One student is picked at random from the six students in the Venn diagram. Write down the probability that this student ran during the midterm break.

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Answer

The probability is ( \frac{4}{6} = \frac{2}{3} ).

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