Question

find the sample space for choosing an odd number from 1 to 15 at random​

Answer 1

$\underline{\pink{ Sample \: space : }}$

The set of all possible elementary events or outcomes is called as " sample space " .

$The \: sample \: space \: for \: choosing \\an \: odd \: number \: from \: 1 \: to \: 15 \: at \: random$

$\green { = \{ 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 \} }$

$i) Number \: of \: total \: possible \:outcomes \\n(S) = 15$

$ii)Favourable \:outcomes = \{ 1,3,5,7,9,11,13,15\}$

$iii) Number \:of \: Favourable \: outcomes \\n(E) = 8$

$Probability \: of \: choosing \: odd \: number \\from \: 1 \: to \: 15 \: at \: random = \frac{n(E)}{n(S)} \\= \frac{8}{15} \\= 0.5\bar{3}$

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