## 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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