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WAEC Mathematics 2017 Paper

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Question : 32

Total: 49

Two bottles are drawn with replacement from 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?

$\frac{1}{12}$
$\frac{1}{6}$
$\frac{2}{9}$
$\frac{3}{8}$

Solution:

Total = 8 + 12 + 4

= 24

$\frac{8}{24} \times (\frac{12}{24} + \frac{4}{24}$ )

= $\frac{1}{3} \times (\frac{1}{2} + \frac{1}{6}$ )

= $\frac{1}{3} \times \frac{3+1}{6}$

$\frac{1}{3} \times \frac{4}{6} = \frac{2}{9}$

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