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BECE Mathematics 2012 Paper

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Question : 17

Total: 40

A box contains 30 identical balls of which 16 are white and the rest yellow. If a girl picks a ball at random from the box, what is the probability that it is a yellow ball?

$\frac{1}{16}$
$\frac{7}{15}$
$\frac{8}{15}$
$\frac{7}{8}$

Solution:

Concept:

Probability of an event is the ratio of favourable outcomes to the total number of equally likely outcomes.

Explanation:

Total balls in the box

= 30

.

White balls

= 16

.

Yellow balls

= 30 - 16 = 14

.

Favourable outcomes for picking a yellow ball

= 14

.

Total possible outcomes

= 30

.

So,

P(\text{yellow}) = \frac{14}{30}

.

Simplify by dividing numerator and denominator by

2

:

\frac{14}{30} = \frac{7}{15}

.

Answer:

\frac{7}{15}

, which is option B.

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