Basic Venn Diagram Probability Application

00:00 3 marks

In a survey of 60 students regarding their beverage preferences, it was found that 35 students like tea, 30 students like coffee, and 15 students like both tea and coffee. Using a Venn diagram, determine the probability that a student chosen at random from this group likes only tea.

Hint Hint

Hint

Visualize the information using a Venn diagram. Remember to account for the overlap when finding the number of students in each category. To find ‘only tea’, subtract those who like both from the total who like tea.

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Answer Answer

Complete Answer

Probability that a student likes only tea is \(\frac{20}{60}\) or simplified to \(\frac{1}{3}\).

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