A die is thrown. Find the probability of getting:
(A) A number greater than 6 and
(B) A number less than 3.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(0,\frac{1}{3}\)
Probability \(\displaystyle=\frac{\text{favourable outcomes}}{\text{total outcomes}}\). A die has 6 equally likely outcomes, 1 to 6.
(A) A number greater than 6: no face shows it, so the event is impossible and its probability is \(0\)
(B) A number less than 3: the faces 1 and 2, so the probability is \(\displaystyle\frac{2}{6}=\frac{1}{3}\)