Question

A box contains cards numbered 1 to 50. One card is drawn randomly. Find the probability that the card contains a number which is a multiple of 3 and 5

Answer 1

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Answer 2

$Number \: of \: total \: possible \: outcomes \\= Number \: of \: cards \: in \: a \: box \\= 50 \: --(1)$

$Multiple \: of \: 3 \: upto \: 50 \\= \{ 3,6,12,15,18,21,24,27,30,33,36,39,42,45,48 \}$

$Multiple \: of \: 5 \: upto \: 50 \\=\{ 5,10,15,20,25,30,35,40,45,50\}$

$Multiple \: of \: 3 \: and \: 5 = \{15,30,45 \}$

$Number \: of \: favourable \: outcomes = 3 \:--(2)$

$\blue {probability \:that\: the \:card \:contains \:a}\\\blue { number\: which \:is \:a \:multiple \:of\: 3 \:and\: 5} \\ = \frac{(2)}{(1)}\\\green {= \frac{3}{50} }$

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