Question

following cards are facing down A E I O U what is the chance of drawing out option (a) a vowel option (b) a card marked A or I option (c) a consonant

Answer 1

a. 5/5=1
b.2/5
c.0/5=0

Answer 2

$Number \:of \:Total \: possible \: outcomes \\=Number \:of \:cards \\= 5 \: ---(1)$

$a) Favourable \: outcomes = \{ A,E,I,O,U \}$

$\blue { Number \: favourable \: outcomes } \\= 5 \: ---(2)$

$\red { Probability (a \:vowel) } \\= \frac{(2)}{(1)} \\= \frac{5}{5} \\= 1 \: [ Sure \: event ]$

$b) Favourable \: outcomes = \{ A,I \}$

$\blue { Number \: favourable \: outcomes } \\= 2\: ---(3)$

$\red { Probability (a \:card \:marked \:A \:or \:I) } \\= \frac{(3)}{(1)} \\= \frac{2}{5}$

$c) Favourable \: outcomes = \{ \}$

$\blue { Number \: favourable \: outcomes } \\= 0 \: ---(4)$

$\red { Probability (a \: consonant) } \\= \frac{(4)}{(1)} \\= \frac{0}{5} \\= 0 \: ( Impossible \:event )$

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