The heights, $$\(h\)$$ metres, of the 120 boys in an athletics club are recorded. The table shows information about the heights of the boys. Three boys are chosen at random from the club. Calculate the probability that one of the boys has a height greater than $$\(1.8 \mathrm{~m}\)$$ and the other two boys each have a height of $$\(1.4 \mathrm{~m}\)$$ or less. .............................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_s20_qp_41 Year:2020 Question No:2(b)(ii)

Answer:

\(\frac{21}{20060}\) oe

Knowledge points:

E8.5 Calculate the probability of simple combined events, using possibility diagrams, tree diagrams and Venn diagrams. (In possibility diagrams, outcomes will be represented by points on a grid, and in tree diagrams, outcomes will be written at the end of branches and probabilities by the side of the branches.)

Solution:

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