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Question Number 180990 by Acem last updated on 20/Nov/22

2 blondes hair of 6 girls will sit around a circular   table, what′s the probability that those two girls   sitting next to each other?

$$\mathrm{2}\:{blondes}\:{hair}\:{of}\:\mathrm{6}\:{girls}\:{will}\:{sit}\:{around}\:{a}\:{circular} \\ $$$$\:{table},\:{what}'{s}\:{the}\:{probability}\:{that}\:{those}\:{two}\:{girls} \\ $$$$\:{sitting}\:{next}\:{to}\:{each}\:{other}? \\ $$

Answered by mr W last updated on 20/Nov/22

p=((4!2!)/(5!))=((48)/(120))=(2/5)=40%  or  p=1−((3!×4×3)/(5!))=40%

$${p}=\frac{\mathrm{4}!\mathrm{2}!}{\mathrm{5}!}=\frac{\mathrm{48}}{\mathrm{120}}=\frac{\mathrm{2}}{\mathrm{5}}=\mathrm{40\%} \\ $$$${or} \\ $$$${p}=\mathrm{1}−\frac{\mathrm{3}!×\mathrm{4}×\mathrm{3}}{\mathrm{5}!}=\mathrm{40\%} \\ $$

Commented by Acem last updated on 20/Nov/22

✓   Very well Sir!

$$\checkmark\: \\ $$$${Very}\:{well}\:{Sir}! \\ $$

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