NECO 2024 · Paper 1 · Q55

Probability

The lucky numbers in a raffle draw are 4, 5, 12, 20, 2, 8, 3, 6, 10, 9, 7, 25, 12, 10, 14, 27. If a number is picked at random, what is the probability that it is a perfect cube?

Worked solution (try it first)

There are 16 numbers in the list.
A perfect cube is a whole number cubed: 8 is $2^3$ and 27 is $3^3$ .
No other number in the list is a cube.
So the probability is $\frac{2}{16} = \frac18$ , option E.

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