A coin is tossed and a die is rolled. Find the probability of getting a tail and a number greater than 4 .
(Type an integer or a simplified fraction.)

Step 1 ：A coin is tossed and a die is rolled. We are to find the probability of getting a tail and a number greater than 4.

Step 2 ：The probability of getting a tail when a coin is tossed is $\frac{1}{2}$ because a coin has two faces.

Step 3 ：The probability of getting a number greater than 4 when a die is rolled is $\frac{2}{6}$ because a die has six faces and only two of them (5 and 6) are greater than 4.

Step 4 ：The probability of both events happening is the product of their individual probabilities because these are independent events.

Step 5 ：Let's denote the probability of getting a tail as $p_{tail}=0.5$ and the probability of getting a number greater than 4 as $p_{greaterthan4}=0.3333333333333333$.

Step 6 ：Then, the probability of both events happening is $p_{both}=p_{tail}\times p_{greaterthan4}=0.16666666666666666$.

Step 7 ：Final Answer: The probability of getting a tail and a number greater than 4 is $\boxed{{\displaystyle \frac{1}{6}}}$.