In a regular 15 -sided polygon with all its d | vedclass

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Question

(a)

Total number of diagonals of $15$ sided polygons

$={ }^{15} C_2-15=\frac{15 	imes 14}{2}-15=90$

$	herefore$ Number of total shortest di

Vedclass · Accepted Answer

$\frac{2}{3}$

Vedclass · Answer

(a)

Total number of diagonals of $15$ sided polygons

$={ }^{15} C_2-15=\frac{15 	imes 14}{2}-15=90$

$	herefore$ Number of total shortest digonals $=15$

And number of longest digonals $=15$

$	herefore$ 'he probability that the selected diagonal is neither shortest nor longest

$=\frac{90-30}{90}=\frac{60}{90}=\frac{2}{3}$

In a regular $15$ -sided polygon with all its diagonals drawn, a diagonal is chosen at random. The probability that it is neither a shortest diagonal nor a longest diagonal is

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