Two integers are selected at random from the | vedclass

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Question

$\mathrm{P}=\frac{	ext { both number is even }}{	ext { number of ways selecting two numbers such that their sum is even. }}$

$ = \frac{{{\,^5}{C_

Vedclass · Accepted Answer

$\frac {2}{5}$

Vedclass · Answer

$\mathrm{P}=\frac{	ext { both number is even }}{	ext { number of ways selecting two numbers such that their sum is even. }}$

$ = \frac{{{\,^5}{C_2}}}{{^5{C_2} + {\,^6}{C_2}}} = \frac{{10}}{{10 + 15}} = \frac{{10}}{{25}} = \frac{2}{5}$

Two integers are selected at random from the set $\{1, 2, …, 11\}.$ Given that the sum of selected numbers is even, the conditional probability that both the numbers are even is

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