Probability
Probability
IP 4
In a cohort of \(100\) students:
\(90\) pass Mathematics;
\(85\) pass English;
\(80\) pass Science.
Find the smallest possible number who pass all three subjects.
Give a possible arrangement of pass/fail results achieving this minimum.
Hence find the smallest possible probability that a randomly selected student passes all three.
Solution:
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Answer:(a) \(55\) students.
(b) Fail Mathematics only: \(10\); fail English only: \(15\); fail Science only: \(20\); pass all three: \(55\).
(c) \(\frac{11}{20}\).
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