okay so lets approach this problem by knowing a few things first.
on a fair die they're are 6 sides so your chance of rolling a four are 1/6
Now we also know that they're 10 combinations of two 4's and four other numbers. We know this by simply doing 2*5.
Now lets say we roll the die to get two 4's and 4 other random numbers
1/6*1/6*5/6*5/6*5/6 =125/7776
Now you multiply by 10 to give you all the possibilities of throwing this.