A man has five sticks each of length 1 m, 2 m, 3 m, 4 m and 5 m. He chooses three of them randomly and tries to make a triangle. What is the probability that he succeeds?
Explanation:
In a triangle, the sum of any two sides is always greater than the third side.
∴ The man can make 3 triangles which satisfy the above criteria i.e., (2, 3, 4), (3, 4, 5) and (2, 4, 5) ⇒ Favourable outcomes = 3
Total outcomes = 5C3 = 10
⇒ Required probability = 310 = 0.3
Hence, option (c).
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