A fair six-faced die, numbered 1 to 6, is rolled once. What is the probability that the number on the top face is a factor of 15?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(\frac{1}{2}\)
A fair die has 6 equally likely outcomes, so probability = favourable outcomes ÷ 6. A factor of 15 is a number that divides 15 exactly.
Possible outcomes: 1, 2, 3, 4, 5, 6, that is, 6 outcomes
Factors of 15 among them: 1, 3, 5, that is, 3 outcomes (2, 4 and 6 do not divide 15)
Probability \(\displaystyle =\frac{3}{6}=\frac{1}{2}\)