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JAMB Mathematics 2020 Paper

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Question : 16

Total: 40

A crate of soft drinks contains 10 bottle of Coca-Cola 8 of Fanta and 6 of Sprite. If one bottle is selected at random, what is the probability that it is Not a Coca-Cola bottle?

$\frac{5}{12}$
$\frac{1}{3}$
$\frac{3}{4}$
$\frac{7}{12}$

Solution:

Concept:

Probability of an event not happening is

1

minus the probability of the event happening.

Explanation:

Total bottles in the crate:

10 + 8 + 6 = 24

.

Number of Coca-Cola bottles:

10

.

Probability of selecting a Coca-Cola bottle:

P(\text{Coca-Cola}) = \frac{10}{24}

.

Therefore, probability of not selecting a Coca-Cola bottle:

P(\text{not Coca-Cola}) = 1 - \frac{10}{24} = \frac{24-10}{24} = \frac{14}{24} = \frac{7}{12}

.

Answer:

\frac{7}{12}

(Option D).

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