waecmaths question:
Two bottles are drawn with replacement a crate containing 8 coke, 12 fanta and 4 sprite bottles. What is the probability that the first is coke and the second is not coke?
Option A:
$\frac{1}{12}$
Option B:
$\frac{1}{6}$
Option C:
$\frac{2}{9}$
Option D:
$\frac{3}{8}$
waecmaths solution:
$\Pr (1stCoke\text{ }and\text{ }2nd\text{ }not\text{ }coke)=\frac{8}{24}\times \left( 1-\frac{8}{24} \right)=\frac{8}{24}\times \frac{16}{24}=\frac{1}{3}\times \frac{2}{3}=\frac{2}{9}$
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