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JAMB Mathematics 2018 Paper

Question : 61

Total: 62

Solution:

Concept:

Probability is the number of favourable outcomes divided by the total number of possible outcomes.

Explanation:

Since

X

and

Y

can each be chosen from

\{1, 2, 3, 4\}

, the total number of ordered pairs

(X, Y)

4 \times 4 = 16

We need the product

XY

to be not greater than 6, meaning

XY \le 6

The favourable pairs are:

(1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1)

There are 10 favourable outcomes.

So,

P(XY \le 6) = \frac{10}{16} = \frac{5}{8}

Answer:

\frac{5}{8}

(Option A).

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