This year, 40 students have each travelled by one or more of plane $$\((P)\)$$, train $$\((T)\)$$ or boat $$\((B)\)$$. 7 have travelled only by plane. 11 have travelled only by train. 9 have travelled only by boat. $$\[ \begin{aligned} &\mathrm{n}(P \cap T)=8 \\ &\mathrm{n}(B \cap T)=3 \\ &\mathrm{n}(B \cap P)=6 \end{aligned} \]$$ Two students are chosen at random from those who have travelled by train. Calculate the probability that they both have also travelled by plane. .............................................
Exam No:0580_m20_qp_42 Year:2020 Question No:9(e)
Answer:
\(\frac{14}{95}\) oe
Knowledge points:
E8.6 Calculate conditional probability using Venn diagrams, tree diagrams and tables. (e.g. Two dice are rolled.) (Given that the total showing on the two dice is 7, find the probability that one of the dice shows the number 2.)
Solution:
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