# 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 : Option 1) Option 2) Option 3) Option 4)

As we learnt in

Probability of occurrence of an event -

Let S be the sample space then the probability of occurrence of an event E is denoted by P(E) and it is defined as

- wherein

Where n repeated experiment and E occurs r times.

Consider 21 cases of isosceles triangle each case occuring thrice

Hence  required probability =

If we consider equilateral triangle, there are 63 occurences of non-equilateral triangle and 6 occurences of equilateral triangle.

Required probability =

Option 1)

This is incorrect option

Option 2)

This is correct option

Option 3)

This is incorrect option

Option 4)

This is incorrect option

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