Draw a triangle

We have line segments with lengths of 3cm, 5cm, 6cm, 7cm, and 9cm. What is the probability in % that if I randomly select three of them, I will be able to draw a triangle?

Correct answer:

p =  80 %

Step-by-step explanation:

C3(5)=(35)=3!(53)!5!=2154=10 n=(53)=10  Δ 3 5 6 Δ 3 5 7 Δ 3 6 7 Δ 3 7 9 Δ 5 6 7 Δ 5 6 9 Δ 5 7 9 Δ 6 7 9  p=100 n8=100 108=10100 8=10800=80%



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