Die is rolled and a coin is tossed. 2. Find the probability of an even number of a head. 3. Find the probability of an odd number and a tail. 4. Find the probability of a number greater than 4

The even numbers on a die are $\{2, 4, 6\}$.
The favorable outcomes for an even number and a head are $\{(2, H), (4, H), (6, H)\}$.
There are 3 favorable outcomes.
The probability is the number of favorable outcomes divided by the total number of outcomes.

$$P(\text{even number and head}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{3}{12} = \frac{1}{4}$$

The probability of an even number and a head is $\boxed{\frac{1}{4}}$.

The odd numbers on a die are $\{1, 3, 5\}$.
The favorable outcomes for an odd number and a tail are $\{(1, T), (3, T), (5, T)\}$.
There are 3 favorable outcomes.

$$P(\text{odd number and tail}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{3}{12} = \frac{1}{4}$$

The probability of an odd number and a tail is $\boxed{\frac{1}{4}}$.

The numbers greater than 4 on a die are $\{5, 6\}$.
The favorable outcomes for a number greater than 4 and a head are $\{(5, H), (6, H)\}$.
There are 2 favorable outcomes.

$$P(\text{number greater than 4 and head}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{12} = \frac{1}{6}$$

The probability of a number greater than 4 and a head is $\boxed{\frac{1}{6}}$.