Question

Given \(Set\;A = \left\{ {2,\;3,\;4,\;5} \right\}\) and Set \(B = \left\{ {11,\;12,\;13,\;14,\;15} \right\}\), two numbers are randomly selected, one from each set. What is the probability that the sum of the two numbers equals 16?
1. 0.20
2. 0.25
3. 0.30
4. 0.33

Answer 1

Correct Answer - Option 1 : 0.20

Total number of possibilities \(= 4 \times 5 = 20\)

Number of possibilities that the sum of two numbers equals 16 = 4

And they are \(= \left\{ {\left( {2,14} \right),\;\left( {3,13} \right),\;\left( {4,12} \right),\;\left( {5,11} \right)} \right\}\)

Probability \(= \frac{4}{{20}} = 0.2\)