Math  /  Data & Statistics

QuestionA group of students sat a biology test and a chemistry test. The frequency tree below shows some information about whether the students passed or failed each test.
A student is chosen at random from the group. What is the probability that they failed at least one test? Give your answer as a fraction in its simplest form.

Studdy Solution
Calculate the probability that a student failed at least one test by dividing the number of students who failed at least one test by the total number of students:
\[ \frac{36}{54} $
Simplify the fraction:
\[ \frac{36 \div 18}{54 \div 18} = \frac{2}{3} $
The probability that a student failed at least one test is:
23 \boxed{\frac{2}{3}}

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