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Two bottles are drawn with replacement from a crate containing 8 coke, 12 and 4 sprite ...
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Two bottles are drawn with replacement from a crate containing 8 coke, 12 and 4 sprite bottles. What is the probability that the first is coke and the second is not coke?
A.
\(\frac{1}{12}\)
B.
\(\frac{1}{6}\)
C.
\(\frac{2}{9}\)
D.
\(\frac{3}{8}\)
Show Answer
Show Explanation
Correct Answer: C
Explanation
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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