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