A coin is tossed and a die is rolled. Find the probability of geting a tail and a number greater than 2. \( \square \) (Type an integer or a simplified fraction.)

To find the probability of getting a tail when tossing a coin and rolling a number greater than 2 on a die, let's break it down. The probability of getting a tail from the coin toss is 1/2. For the die, the numbers greater than 2 are 3, 4, 5, and 6, which gives us 4 possible outcomes. Since a die has 6 faces, the probability of rolling a number greater than 2 is 4/6 or 2/3. To find the combined probability, we multiply these two probabilities: \( P(Tail \text{ and } >2) = P(Tail) \times P(>2) = \frac{1}{2} \times \frac{2}{3} = \frac{1}{3}. \) So, the probability of getting a tail and a number greater than 2 is \( \frac{1}{3} \).