Exam-Style Question on Probability Sets
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 71. This question is similar to one that appeared on an IB Standard paper in 2014. The use of a calculator is not allowed.
Let \(J\) and \(T\) be independent events, where \(P(J)=0.4\) and \(P(T)=0.7\).
(a) Find \(P(J\cap T)\).
(b) Find \(P(J\cup T)\).
(c) Draw a two-set Venn diagram and shade the region that represents \(J\cap T'\).
(d) Find \(P(J\cap T')\).
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