Question

If the lengths of the sides of a triangle are decided by the three throws of a single fair die, then the probability that the triangle is of maximum area given that it is an isosceles triangle, is :

 (1)  1/21

(2)  1/27

(3)  1/15

(4)  1/26

Answer 1

Correct option (2)  1/27 

Explanation:

fav. ease all sides (6, 6, 6)

Total care by a + b > c {(1, 1, 1) (2, 2, 1), (2, 2, 2), (2, 2, 3)(3, 3, 1)....... (3, 3, 5) (4, 4, 1) ........ (4, 4, 6) (5, 5, 1) ...... (5, 5, 6) (6, 6, 1)...... (6, 6, 6)} = 27

Probability = 1/27