Properties of TriangleEasy
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 :
that the triangle is of maximum area given that it is an isosceles triangle, is :
Options
A.1/21
B.1/27
C.1/15
D.1/26
Solution
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
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
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