If out of 20 consecutive whole numbers two ar | vedclass

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Question

(b) The total number of ways in which $2$ integers can be chosen from the given $20$ integers ${}^{20}{C_2}.$

The sum of the selected numbers is od

Vedclass · Accepted Answer

$\frac{{10}}{{19}}$

Vedclass · Answer

(b) The total number of ways in which $2$ integers can be chosen from the given $20$ integers ${}^{20}{C_2}.$

The sum of the selected numbers is odd if exactly one of them is given and one is odd.

$	herefore $ Favourable number of outcomes $ = {}^{10}{C_1} 	imes {}^{10}{C_1}$

$	herefore $ Required probability $ = \frac{{{}^{10}{C_1} 	imes {}^{10}{C_1}}}{{{}^{20}{C_2}}} = \frac{{10}}{{19}}.$

If out of $20$ consecutive whole numbers two are chosen at random, then the probability that their sum is odd, is

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