Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeneral (Event SS, Definitions, Odd against/Favour)Medium2 minQB

MathematicsMediuminteger

If the sides of triangle are decided by throwing a die thrice, the probability that the triangle is isosceles or equilateral is $\frac{1}{k}$ then $k =$

Answer:

Solution:

Let the sides be $a, b, c$

$a = b = 1, c = 1$

$a = b = 2, c = 1, 2, 3$

$a = b = 3, c = 1, 2, 3, 4, 5$

$a = b = 4, c = 1, 2, 3, 4, 5, 6$

$a = b = 5, c = 1, 2, 3, 4, 5, 6$

$a = b = 6, c = 1, 2, 3, 4, 5, 6$

The number of these triangles is $1 + 3 + 5 + 3 \times 6 = 27$ Probability $= \frac{27}{6 ^{3}} = \frac{1}{8}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:General (Event SS, Definitions, Odd against/Favour)

⏱ 2mℹ️ Source: QB

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