Complete question :
A coin is tossed and a die is rolled. Find the probability of tossing a tail and then rolling a number greater than 2.
Answer : 1/3
Explanation:
For a coin :
Sample space = (T, H)
Probability = required outcome / Total possible outcomes
Probability of tail, p(T) = 1 / 2 = 0.5
For a fair die:
Sample space = (1, 2, 3, 4, 5, 6)
Required outcome = number greater than 2 = (3, 4, 5, 6) = 4
P(number greater than 2) = 4/6 = 2/ 3
Hence, probability of a tail, then a number greater than 2 :
(1/2 * 2/3) = 2 /6 = 1/3