There are only six was to to role a number less than four. 1 and 1. 1 and 2. 2 and 1. 1 and 3. 2 and 2. 3 and 3 and 1.
The first number on the die could be 1, and the second die could have a probability of rolling the second number on it. Giving us a probability of 1/6.
We can subtract the calculated probability from rolling less than four from 1 to find the probability of rolling more than 5:
1/12 because if the coin lands on heads there are 6 other numbers it could land on. if the coin lands on tails there are another 6 numbers. so the probability of it landing on heads and rolling a 2 would be 1 out of 12.