TCS Company Numerical Ability Probability

A bag has 1, 3, 5, 7, 9,11 and 13 cm sticks. Find the probability that they they will form a triangle if 3 sticks are drawn?

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TCS Other Question

a, b, c are chosen randomly and with replacement from the set {1,2,3,4,5}. Find the probability that a*b+c is even. A group of twelve persons is to be seated around a circular table. There are only two women in the group find the probability that there is at least three men between the two women.
option
1. 5/11
2. 7/12
3. 1/3
4. 2/9