JEE Mains · Maths · STD 11 - 14. probability
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
- A \(\frac{1}{21}\)
- B \(\frac{1}{27}\)
- C \(\frac{1}{15}\)
- D \(\frac{1}{26}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{27}\)
Step-by-step Solution
Detailed explanation
Favourable case \(= (6,6,6)\) Total case \(= \{ (1,1,1)(2,2,1),(2,2,2),(2,2,3),(3,3,1)\) \( \ldots (3,3,5)(4,4,1) \ldots ..\) \((4,4,6)(5,5,1)....\) \((5,5,6)(6,6,1) \ldots (6,6,6)\} \) which satisfies condition \(a + b > c\) Number of total case \(= 27\) Probability…
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